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5-\frac{3}{4}x-\frac{2}{3}x=2
Subtract \frac{2}{3}x from both sides.
5-\frac{17}{12}x=2
Combine -\frac{3}{4}x and -\frac{2}{3}x to get -\frac{17}{12}x.
-\frac{17}{12}x=2-5
Subtract 5 from both sides.
-\frac{17}{12}x=-3
Subtract 5 from 2 to get -3.
x=-3\left(-\frac{12}{17}\right)
Multiply both sides by -\frac{12}{17}, the reciprocal of -\frac{17}{12}.
x=\frac{-3\left(-12\right)}{17}
Express -3\left(-\frac{12}{17}\right) as a single fraction.
x=\frac{36}{17}
Multiply -3 and -12 to get 36.