Question

which value of x makes the following equation true?
3(x - 5) - 12 = 2(x - 6) + 2
a. 23
b. 17
c. 11
d. 12
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Explanation:

Step1: Expand both sides

Expand the left side: \(3(x - 5)-12 = 3x-15 - 12=3x - 27\)
Expand the right side: \(2(x - 6)+2=2x-12 + 2=2x-10\)

Step2: Solve for x

Set the two sides equal: \(3x - 27=2x - 10\)
Subtract \(2x\) from both sides: \(3x-2x - 27=2x-2x - 10\)
Simplify: \(x - 27=- 10\)
Add 27 to both sides: \(x-27 + 27=-10 + 27\)
Simplify: \(x = 17\)

Answer:

B. 17