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