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\frac{2}{3}x+10-4x=0
Subtract 4x from both sides.
-\frac{10}{3}x+10=0
Combine \frac{2}{3}x and -4x to get -\frac{10}{3}x.
-\frac{10}{3}x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
x=-10\left(-\frac{3}{10}\right)
Multiply both sides by -\frac{3}{10}, the reciprocal of -\frac{10}{3}.
x=3
Multiply -10 times -\frac{3}{10}.