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\frac{13}{18}x+13-\frac{7}{12}x=8
Subtract \frac{7}{12}x from both sides.
\frac{5}{36}x+13=8
Combine \frac{13}{18}x and -\frac{7}{12}x to get \frac{5}{36}x.
\frac{5}{36}x=8-13
Subtract 13 from both sides.
\frac{5}{36}x=-5
Subtract 13 from 8 to get -5.
x=-5\times \frac{36}{5}
Multiply both sides by \frac{36}{5}, the reciprocal of \frac{5}{36}.
x=-36
Multiply -5 times \frac{36}{5}.