Solve for x
x=2
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-\frac{1}{2}x+5+3x=10
Add 3x to both sides.
\frac{5}{2}x+5=10
Combine -\frac{1}{2}x and 3x to get \frac{5}{2}x.
\frac{5}{2}x=10-5
Subtract 5 from both sides.
\frac{5}{2}x=5
Subtract 5 from 10 to get 5.
x=5\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
x=2
Cancel out 5 and 5.
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