\[8x-7=7\]

1
Add 77 to both sides.
8x=7+78x=7+7

2
Simplify  7+77+7  to  1414.
8x=148x=14

3
Divide both sides by 88.
x=148x=\frac{14}{8}

4
Simplify  148\frac{14}{8}  to  74\frac{7}{4}.
x=74x=\frac{7}{4}

Done

Decimal Form: 1.75

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