# How do you solve  abs(1/2x - 3) = 4?

Mar 22, 2018

X= 14 and -2

#### Explanation:

Writing the Equation:

$| \frac{x}{2} - 3 | = 4$

Since it's absolute value, It has two solutions:

1/

$\frac{x}{2} - 3 = 4$

$\frac{x}{2} = 7$

$x = 14$

2/

$\frac{x}{2} - 3 = - 4$

$\frac{x}{2} = - 1$

$x = - 2$