# How do you solve #abs(x+3)=abs(7-x)#?

##### 1 Answer

Mar 30, 2015

One way(Method 1) would be to replace each of the absolute value expressions with 2 possible expressions (one positive and one negative). For the given example there are two absolute value expression and all 4 possible combinations would need to be considered.

An alternative (Method 2) would be to square both sides and solve.

**Method 1**

The only solution is

**Method 2**