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