Question

Solve for x: |4x + 12| = 16

Select one:
a. x = 7, x = −7
b. x = 1, x = −1
c. x = 1, x = −7
d. x = −1, x = 7

Answer 1

Solve Absolute value
4x + 12 = 16 or 4x + 12 = -16
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1.) 4x+12=16
Subtract 12 from both sides
4x+12-12=16-12
4x = 4
Divide by 4
4x ÷ 4 = 4 ÷ 4
x = 1
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2.) 4x+12=-16
Subtract 12 from both sides
4x+12-12=-16-12
4x=-28
Divide each side by 4
4x ÷ 4 = -28 ÷ 4
x = -7
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X = 1 and x = -7 is your answer

Answer 2

4x+12=16
4x=4
x=1

or

-(4x+12)=16
-4x-12=16
-4x=28
x=-7

answer Choice C is correct