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\frac{1}{2}x-4+\frac{1}{3}x=-3
Add \frac{1}{3}x to both sides.
\frac{5}{6}x-4=-3
Combine \frac{1}{2}x and \frac{1}{3}x to get \frac{5}{6}x.
\frac{5}{6}x=-3+4
Add 4 to both sides.
\frac{5}{6}x=1
Add -3 and 4 to get 1.
x=1\times \frac{6}{5}
Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.
x=\frac{6}{5}
Multiply 1 and \frac{6}{5} to get \frac{6}{5}.