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\frac{1}{2}x-8=3-\frac{3}{2}x
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.
\frac{1}{2}x-8+\frac{3}{2}x=3
Add \frac{3}{2}x to both sides.
2x-8=3
Combine \frac{1}{2}x and \frac{3}{2}x to get 2x.
2x=3+8
Add 8 to both sides.
2x=11
Add 3 and 8 to get 11.
x=\frac{11}{2}
Divide both sides by 2.