Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

x + 7 = 3(x - 3)
What value of x satisfies the given equation?

4
8
9
16

The correct answer is: 8

HINT: Use the Distributive property on the RHS and simplify.
Complete step by step Solution
Given the equation is x + 7 = 3(x - 3)
Distributive property states that $a left parenthesis b plus c right parenthesis equals a b blank plus a c$
By applying this property in the given equation, we get
x + 7 = 3x - 9
On subtracting 7 from both the sides, we get x + 7 - 7 = 3x – 9 - 7
Then, the equation becomes x = 3x - 16
Now, on subtracting 3x from both the sides,
we get x - 3x = 3x - 3x - 16
Then, - 2x = - 16
By dividing -2 on both the sides, we get $fraction numerator negative 2 x over denominator 2 end fraction equals fraction numerator negative 16 over denominator negative 2 end fraction$
Hence, the value of x is equal to 8.
Note: We are given 4 options. So, we can also find the correct value of x just by substituting the given options in the given equation. Here the only value that satisfies this equation is 8. So, the correct answer is 8.

Related Questions to study

x² + 10 = 91
What is the positive solution to the given equation?

x² + 10 = 91
What is the positive solution to the given equation?

$x squared minus 12 x plus 23 equals 0$
Which of the following is a solution to the given equation?

$x squared minus 12 x plus 23 equals 0$
Which of the following is a solution to the given equation?

The graph of the function f defined by $f left parenthesis x right parenthesis equals 1 fourth left parenthesis x plus 4 right parenthesis squared minus 5$ is shown. The graph passes through the points $left parenthesis negative 10 comma a right parenthesis text and end text left parenthesis a comma b right parenthesis comma$ where a and b are constants. What is the value of b ?

The graph of the function f defined by $f left parenthesis x right parenthesis equals 1 fourth left parenthesis x plus 4 right parenthesis squared minus 5$ is shown. The graph passes through the points $left parenthesis negative 10 comma a right parenthesis text and end text left parenthesis a comma b right parenthesis comma$ where a and b are constants. What is the value of b ?

parallel

$5 x minus 2 plus 3 x equals 3 left parenthesis x plus 4 right parenthesis plus 5 x minus 10$
Which of the following statements is true about the equation above?

$5 x minus 2 plus 3 x equals 3 left parenthesis x plus 4 right parenthesis plus 5 x minus 10$
Which of the following statements is true about the equation above?

$y equals left parenthesis x plus 5 right parenthesis squared minus 8$
The equation above can be represented by a parabola in the -plane. The parabola is then translated so that the vertex is at (0, 0). Which of the following best describes the translation?

$y equals left parenthesis x plus 5 right parenthesis squared minus 8$
The equation above can be represented by a parabola in the -plane. The parabola is then translated so that the vertex is at (0, 0). Which of the following best describes the translation?

$vertical line x plus 2 vertical line equals vertical line x minus 8 vertical line$
What is the solution to the given equation?

$vertical line x plus 2 vertical line equals vertical line x minus 8 vertical line$
What is the solution to the given equation?

parallel

What is an equation of the graph shown?

What is an equation of the graph shown?

Which expression is equivalent to $g to the power of 4 over 5 end exponent h to the power of 2 over 5 end exponent$ , where g and h are positive?

Which expression is equivalent to $g to the power of 4 over 5 end exponent h to the power of 2 over 5 end exponent$ , where g and h are positive?

Which expression is equivalent to $x to the power of 4 minus 18 x squared plus 81$ ?

Which expression is equivalent to $x to the power of 4 minus 18 x squared plus 81$ ?

parallel

Triangle DEF (not shown) is similar to triangle ABC above, where side DE corresponds to side AB, side DF corresponds to side AC , and DE = AB. What is the measure of angle DEF ?

Triangle DEF (not shown) is similar to triangle ABC above, where side DE corresponds to side AB, side DF corresponds to side AC , and DE = AB. What is the measure of angle DEF ?

The function $f$ models Jack's pulse, in beats per minute (bpm), as a function of his speed, in kilometers per hour (km/h), on a stationary bicycle. Based on the model, what was Jack's pulse, in bpm, when his sped was 0 km/h?

The function $f$ models Jack's pulse, in beats per minute (bpm), as a function of his speed, in kilometers per hour (km/h), on a stationary bicycle. Based on the model, what was Jack's pulse, in bpm, when his sped was 0 km/h?

ka + nb = 10
The given equation relates the positive numbers a, b, k and n. Which of the following correctly expresses a in terms of b, k , and n ?

ka + nb = 10
The given equation relates the positive numbers a, b, k and n. Which of the following correctly expresses a in terms of b, k , and n ?

parallel

What system of linear equations is represented by the lines shown?

What system of linear equations is represented by the lines shown?

What is the x-intercept of the graph of 8x + 6y = 24 in the xy-plane?

What is the x-intercept of the graph of 8x + 6y = 24 in the xy-plane?

A college mathematics department plans to spend $straight $$ 1,800 buying computers and books. Each computer costs $straight $$ 300 and each book costs $straight $$ 90 . Which equation represents this situation, where x is the number of computers and y is the number of books that the department can buy?

A college mathematics department plans to spend $straight $$ 1,800 buying computers and books. Each computer costs $straight $$ 300 and each book costs $straight $$ 90 . Which equation represents this situation, where x is the number of computers and y is the number of books that the department can buy?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.