To solve for x, you need to do inverse operations to both sides. (also, you need to make 2 possibilities for the absolute value)
8 |x+7-3| = 5
Divide both sides by 8 and simplify like terms:
|x+4| = 5/8
Then, you need to separate into 2 different equations like this:
x +4 = 5/8 and
x + 4 = -5/8
Then, solving for x like this:
x = 5/8-4
x = -5/8-4
Which gets you
x = -3.375 and
x = -4.625
Hope this helped!
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