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-\frac{2}{3}x=-\frac{25}{12}+2
Add 2 to both sides.
-\frac{2}{3}x=-\frac{25}{12}+\frac{24}{12}
Convert 2 to fraction \frac{24}{12}.
-\frac{2}{3}x=\frac{-25+24}{12}
Since -\frac{25}{12} and \frac{24}{12} have the same denominator, add them by adding their numerators.
-\frac{2}{3}x=-\frac{1}{12}
Add -25 and 24 to get -1.
x=-\frac{1}{12}\left(-\frac{3}{2}\right)
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.
x=\frac{-\left(-3\right)}{12\times 2}
Multiply -\frac{1}{12} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{3}{24}
Do the multiplications in the fraction \frac{-\left(-3\right)}{12\times 2}.
x=\frac{1}{8}
Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.