Question

Solve |2x – 3| = 11. Show each step of your work.

Answer 1

Answer:

x =7       or              x = -4

Step-by-step explanation:

|2x – 3| = 11

There are two solutions to an absolute value equation, one positive and one negative

2x-3 =11    or 2x-3 = -11

Add 3 to each side

2x-3+3 = 11 +3    2x-3+3 = -11+3

2x = 14                 2x = -8

Divide each side by 2

2x/2 =14/2           2x/2 = -8/2

x =7                     x = -4