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