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-\frac{4}{3}=x-3
Divide both sides by -3.
x-3=-\frac{4}{3}
Swap sides so that all variable terms are on the left hand side.
x=-\frac{4}{3}+3
Add 3 to both sides.
x=-\frac{4}{3}+\frac{9}{3}
Convert 3 to fraction \frac{9}{3}.
x=\frac{-4+9}{3}
Since -\frac{4}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.
x=\frac{5}{3}
Add -4 and 9 to get 5.