# Solve for x: |x| − 8 = −5

A. x = −13 and x = −3

B. x = 3 and x = −3

C. x = 3 and x = 13

D. No solution

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

## Answer: B. x = 3 and x = −3

An equation is like a weighing balance with equal weights on both sides. The absolute value of any number is always a positive number.

**Explanation:**

First, we have to isolate the absolute on the left side of the equation |x| − 8 = −5 by adding 8 on both sides.

|x| − 8 = −5

|x| − 8 + 8 = −5 + 8

|x| = 3

Now open the absolute symbol by applying ± sign before 3,

|x| = 3

x = ± 3

So, the solution of the equation |x| − 8 = −5 are, x = 3 and x = −3