Mathematics
Grade-8
Easy

Question

Solve the equation 6 – 6x = 5x – 9x – 2.

  1. 4
  2. 5
  3. 6
  4. 7

hintHint:

An equation has a constant, variable and an equal to sign. It has two sides LHS and RHS. A linear equation in one variable is equation with only one variable and in which the highest degree is 1. Here, we have to find the value of unknown value, i.e., x by operating both sides with the same number so that the equation will be balanced.

The correct answer is: 4


In the given question the equation is 6 – 6x = 5x – 9x – 2.
Here, we have to find the solution of the given linear equation in one variable.
Bring all the terms containing variables in one side by operating same numbers on both sides to balance the equation.
Step 1: Add 6x on both sides.
rightwards double arrow6-6x+6x= 5x- 9x-2+6x
rightwards double arrow6= 5x-9x-2+6x
Step 2: Add 2 on both sides.
rightwards double arrow6+2= 5x-9x-2+6x+2
rightwards double arrow6+2= 5x-9x+6x
rightwards double arrow8= 5x-9x+6x
Step 3: Solve the RHS.
rightwards double arrow8= 2x
Step 4: Divide both sides by 2.
rightwards double arrow 8 over 2 equals fraction numerator 2 x over denominator 2 end fraction
rightwards double arrow 4 equals x
rightwards double arrow x equals 4
So, the solution of the equation is 4.
Therefore, the correct option is a,i.e., 4.

Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.

Related Questions to study

Grade-8
MathematicsVideo

Solve the equation 1 fourth left parenthesis x plus 3 right parenthesis equals 1 half left parenthesis x plus 2 right parenthesis.

Solve the equation 1 fourth left parenthesis x plus 3 right parenthesis equals 1 half left parenthesis x plus 2 right parenthesis.

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve 3 – (x – 3) = 25

Solve 3 – (x – 3) = 25

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve the equation -5(x – 2) = -25

Solve the equation -5(x – 2) = -25

MathematicsGrade-8
parallel
Grade-8
MathematicsVideo

Solve for x in the equation 11x + 13 = 2x + 148

Solve for x in the equation 11x + 13 = 2x + 148

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve the equation 2a − 7 = 5a + 8

Solve the equation 2a − 7 = 5a + 8

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve the equation 5x + 8 = 7x

Solve the equation 5x + 8 = 7x

MathematicsGrade-8
parallel
Grade-8
MathematicsVideo

Solve the equation 6(g + 3) = - 2(g + 31)

Solve the equation 6(g + 3) = - 2(g + 31)

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve the equation 4w + 8 = 6w – 4

Solve the equation 4w + 8 = 6w – 4

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve x – 6 = - 2x + 3

Solve x – 6 = - 2x + 3

MathematicsGrade-8
parallel
Grade-8
MathematicsVideo

Solve the equation 5(x + 2) = 3x – 8

Solve the equation 5(x + 2) = 3x – 8

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve the equation 5 + 3x = 2x + 6

Solve the equation 5 + 3x = 2x + 6

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve the equation n + 2 = - 1 4 – n

Solve the equation n + 2 = - 1 4 – n

MathematicsGrade-8
parallel
Grade-8
MathematicsVideo

Solve the equation 6r + 7 = 13 + 7r

Solve the equation 6r + 7 = 13 + 7r

MathematicsGrade-8
Grade-8
MathematicsVideo

Solve the equation 6y – 10y – 11 = 8y – 2y + 29

Solve the equation 6y – 10y – 11 = 8y – 2y + 29

MathematicsGrade-8
Grade-8
Mathematics

Solve the equation -3x – 4(4x – 8) = 3( -8x – 1)

Solve the equation -3x – 4(4x – 8) = 3( -8x – 1)

MathematicsGrade-8
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.