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x+2=6\left(-\frac{4}{3}\right)
Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}.
x+2=\frac{6\left(-4\right)}{3}
Express 6\left(-\frac{4}{3}\right) as a single fraction.
x+2=\frac{-24}{3}
Multiply 6 and -4 to get -24.
x+2=-8
Divide -24 by 3 to get -8.
x=-8-2
Subtract 2 from both sides.
x=-10
Subtract 2 from -8 to get -10.