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\frac{5}{12}x=x-7
Combine \frac{1}{4}x and \frac{1}{6}x to get \frac{5}{12}x.
\frac{5}{12}x-x=-7
Subtract x from both sides.
-\frac{7}{12}x=-7
Combine \frac{5}{12}x and -x to get -\frac{7}{12}x.
x=-7\left(-\frac{12}{7}\right)
Multiply both sides by -\frac{12}{7}, the reciprocal of -\frac{7}{12}.
x=12
Multiply -7 times -\frac{12}{7}.