Question

solve.\\
|2x - 7| = 8\\
x = \square\\
(simplify your answers. type an integer or a fraction. use\\
a comma to separate answers as needed.)

Explanation:

Step1: Split absolute value equation

$2x - 7 = 8$ or $2x - 7 = -8$

Step2: Solve first equation for x

$2x = 8 + 7 = 15$
$x = \frac{15}{2}$

Step3: Solve second equation for x

$2x = -8 + 7 = -1$
$x = -\frac{1}{2}$

Answer:

$\frac{15}{2}, -\frac{1}{2}$