Solve for x
x=12
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\frac{5}{12}x+5=\frac{5}{6}x
Combine \frac{3}{4}x and -\frac{1}{3}x to get \frac{5}{12}x.
\frac{5}{12}x+5-\frac{5}{6}x=0
Subtract \frac{5}{6}x from both sides.
-\frac{5}{12}x+5=0
Combine \frac{5}{12}x and -\frac{5}{6}x to get -\frac{5}{12}x.
-\frac{5}{12}x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=-5\left(-\frac{12}{5}\right)
Multiply both sides by -\frac{12}{5}, the reciprocal of -\frac{5}{12}.
x=12
Multiply -5 times -\frac{12}{5}.
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