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12+\frac{2}{5}x=x
Combine \frac{1}{5}x and \frac{1}{5}x to get \frac{2}{5}x.
12+\frac{2}{5}x-x=0
Subtract x from both sides.
12-\frac{3}{5}x=0
Combine \frac{2}{5}x and -x to get -\frac{3}{5}x.
-\frac{3}{5}x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=-12\left(-\frac{5}{3}\right)
Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}.
x=\frac{-12\left(-5\right)}{3}
Express -12\left(-\frac{5}{3}\right) as a single fraction.
x=\frac{60}{3}
Multiply -12 and -5 to get 60.
x=20
Divide 60 by 3 to get 20.