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x+2=-\frac{4}{3}
Divide both sides by -3.
x=-\frac{4}{3}-2
Subtract 2 from both sides.
x=-\frac{4}{3}-\frac{6}{3}
Convert 2 to fraction \frac{6}{3}.
x=\frac{-4-6}{3}
Since -\frac{4}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{10}{3}
Subtract 6 from -4 to get -10.