Question

Solve for all values of x in simplest form. 5-3|2x-7|=-31

Answer 1

Answer:

x = 9 1/2                          x = -2 1/2

Step-by-step explanation:

5-3|2x-7|=-31

Subtract 5 from each side

5-5-3|2x-7|=-31-5

-3|2x-7|=-36

divide by -3

-3/-3|2x-7|=-36/-3

|2x-7|=12

There is a positive and negative solution to the absolute value equation

2x-7 =12                2x -7 = -12

Add 7 to each side

2x-7+7 =12+7         2x-7+7 = -12+7

2x = 19                       2x = -5

Divide by 2

2x/2 = 19/2                2x/2 = -5/2

x = 9 1/2                          x = -2 1/2