Sasha is solving the absolute value equation , What is the first step she should take ?

The correct answer is: -2x+4=8 And for 2x≥0, the equation becomes 2x+4=8 To find the solution of the given equation, Sasha needs to solve these two equations.

Hint:
|x| is known as the absolute value of x. It is the non-negative value of x irrespective of its sign. The value of absolute value of x is given by

The symbol |.| is pronounced as ‘modulus’. We read |x| as ‘modulus of x’ or ‘mod x’.
Step by step solution:
We cannot operate on |x| unless we determine if it is positive or negative. So first we need to eliminate the modulus.
To get rid of the modulus sign, we use the definition of absolute value of x, which is

The given equation is
|2x| + 4 = 8
The first step is to eliminate the mod with the definition above.
For 2x < 0, the equation reduces to
-2x + 4 = 8
And for 2x ≥ 0, the equation becomes
2x + 4 = 8
To find the solution of the given equation, Sasha needs to solve these two equations.
Note:
This should always the first step while solving an equation which has a modulus value in it: to break it into two parts. Then it becomes easier to solve and interpret the equation.