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\frac{5}{6}x+8=x
Combine \frac{x}{2} and \frac{x}{3} to get \frac{5}{6}x.
\frac{5}{6}x+8-x=0
Subtract x from both sides.
-\frac{1}{6}x+8=0
Combine \frac{5}{6}x and -x to get -\frac{1}{6}x.
-\frac{1}{6}x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
x=-8\left(-6\right)
Multiply both sides by -6, the reciprocal of -\frac{1}{6}.
x=48
Multiply -8 and -6 to get 48.