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\frac{1}{2}x+x=2
Add x to both sides.
\frac{3}{2}x=2
Combine \frac{1}{2}x and x to get \frac{3}{2}x.
x=2\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{2\times 2}{3}
Express 2\times \frac{2}{3} as a single fraction.
x=\frac{4}{3}
Multiply 2 and 2 to get 4.