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\frac{7}{12}x=2x-17
Combine \frac{1}{3}x and \frac{1}{4}x to get \frac{7}{12}x.
\frac{7}{12}x-2x=-17
Subtract 2x from both sides.
-\frac{17}{12}x=-17
Combine \frac{7}{12}x and -2x to get -\frac{17}{12}x.
x=-17\left(-\frac{12}{17}\right)
Multiply both sides by -\frac{12}{17}, the reciprocal of -\frac{17}{12}.
x=12
Multiply -17 times -\frac{12}{17}.