\[|3x|=x+8\]

1
Break down the problem into these 2 equations.
3x=x+83x=x+8
3x=x+8-3x=x+8

2
Solve the 1st equation: 3x=x+83x=x+8.
x=4x=4

3
Solve the 2nd equation: 3x=x+8-3x=x+8.
x=2x=-2

4
Collect all solutions.
x=2,4x=-2,4

Done

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