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\frac{7}{10}x-5-\frac{1}{2}x=0
Subtract \frac{1}{2}x from both sides.
\frac{1}{5}x-5=0
Combine \frac{7}{10}x and -\frac{1}{2}x to get \frac{1}{5}x.
\frac{1}{5}x=5
Add 5 to both sides. Anything plus zero gives itself.
x=5\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=25
Multiply 5 and 5 to get 25.