Finding x
Initial explanation
We want to find which value of x, makes
h(x) = 5x + 2
become
h(x) = -8
This is, we want to find the value of x such that
5x + 2 = -8
First step
We want to take all the terms that have an x to one side and the numbers to the other side of the equation:
5x + 2 = -8
↓ taking +2 to the right side
5x = -8 - 2
Second step
We simplify:
5x = -8 - 2
↓ combining -8 and -2
5x = -10
Third step
We want to take all the numbers that multiply or divide x to the other side of the equation:
5x = -10
↓ taking 5 to the right side
x = -10/5
x = -2
Answer: the value that makes h(x) become -8 is x = -2