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\frac{2}{3}x-8-2x=0
Subtract 2x from both sides.
-\frac{4}{3}x-8=0
Combine \frac{2}{3}x and -2x to get -\frac{4}{3}x.
-\frac{4}{3}x=8
Add 8 to both sides. Anything plus zero gives itself.
x=8\left(-\frac{3}{4}\right)
Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.
x=\frac{8\left(-3\right)}{4}
Express 8\left(-\frac{3}{4}\right) as a single fraction.
x=\frac{-24}{4}
Multiply 8 and -3 to get -24.
x=-6
Divide -24 by 4 to get -6.