Solve for x
x=-10
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\frac{2}{5}x+2-\frac{4}{5}x=6
Subtract \frac{4}{5}x from both sides.
-\frac{2}{5}x+2=6
Combine \frac{2}{5}x and -\frac{4}{5}x to get -\frac{2}{5}x.
-\frac{2}{5}x=6-2
Subtract 2 from both sides.
-\frac{2}{5}x=4
Subtract 2 from 6 to get 4.
x=4\left(-\frac{5}{2}\right)
Multiply both sides by -\frac{5}{2}, the reciprocal of -\frac{2}{5}.
x=\frac{4\left(-5\right)}{2}
Express 4\left(-\frac{5}{2}\right) as a single fraction.
x=\frac{-20}{2}
Multiply 4 and -5 to get -20.
x=-10
Divide -20 by 2 to get -10.
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