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\frac{2}{3}x=4-15
Subtract 15 from both sides.
\frac{2}{3}x=-11
Subtract 15 from 4 to get -11.
x=-11\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{-11\times 3}{2}
Express -11\times \frac{3}{2} as a single fraction.
x=\frac{-33}{2}
Multiply -11 and 3 to get -33.
x=-\frac{33}{2}
Fraction \frac{-33}{2} can be rewritten as -\frac{33}{2} by extracting the negative sign.