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\frac{1}{2}x+25=3x
Add 4 and 21 to get 25.
\frac{1}{2}x+25-3x=0
Subtract 3x from both sides.
-\frac{5}{2}x+25=0
Combine \frac{1}{2}x and -3x to get -\frac{5}{2}x.
-\frac{5}{2}x=-25
Subtract 25 from both sides. Anything subtracted from zero gives its negation.
x=-25\left(-\frac{2}{5}\right)
Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.
x=\frac{-25\left(-2\right)}{5}
Express -25\left(-\frac{2}{5}\right) as a single fraction.
x=\frac{50}{5}
Multiply -25 and -2 to get 50.
x=10
Divide 50 by 5 to get 10.