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-\frac{2}{3}=x-4
Divide both sides by -3.
x-4=-\frac{2}{3}
Swap sides so that all variable terms are on the left hand side.
x=-\frac{2}{3}+4
Add 4 to both sides.
x=-\frac{2}{3}+\frac{12}{3}
Convert 4 to fraction \frac{12}{3}.
x=\frac{-2+12}{3}
Since -\frac{2}{3} and \frac{12}{3} have the same denominator, add them by adding their numerators.
x=\frac{10}{3}
Add -2 and 12 to get 10.