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Help I have a photo of the problem

Help I have a photo of the problem-example-1

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Answer:

Explanation:

The mistake was: he is suppose to substract 1/2x from both side not add 1/2x

3/4x + 5 = 1/2(x - 8)

3/4x + 5 = 1/2x - 4

Substracting 1/2x from both side

3/4x - 1/2x + 5 = 1/2x - 1/2x - 4

3/4x - 1/2x + 5 = -4

3/4x - 1/2x = -4 - 5

3/4x - 1/2x = -9

Multiple each term by 4

3x - 2x = 4(-9)

x = -36

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