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