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x-35-\frac{4}{5}x=0
Subtract \frac{4}{5}x from both sides.
\frac{1}{5}x-35=0
Combine x and -\frac{4}{5}x to get \frac{1}{5}x.
\frac{1}{5}x=35
Add 35 to both sides. Anything plus zero gives itself.
x=35\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=175
Multiply 35 and 5 to get 175.