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\frac{1}{2}x+5-\frac{3}{10}x=0
Subtract \frac{3}{10}x from both sides.
\frac{1}{5}x+5=0
Combine \frac{1}{2}x and -\frac{3}{10}x to get \frac{1}{5}x.
\frac{1}{5}x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=-5\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=-25
Multiply -5 and 5 to get -25.