\[5x-7=8\]
1
Add 77 to both sides.
5x=8+75x=8+7

2
Simplify  8+78+7  to  1515.
5x=155x=15

3
Divide both sides by 55.
x=155x=\frac{15}{5}

4
Simplify  155\frac{15}{5}  to  33.
x=3x=3

Done

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