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\frac{1}{2}x+3-\frac{3}{2}x=-5
Subtract \frac{3}{2}x from both sides.
-x+3=-5
Combine \frac{1}{2}x and -\frac{3}{2}x to get -x.
-x=-5-3
Subtract 3 from both sides.
-x=-8
Subtract 3 from -5 to get -8.
x=8
Multiply both sides by -1.