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2x+\frac{1}{2}x=6
Add \frac{1}{2}x to both sides.
\frac{5}{2}x=6
Combine 2x and \frac{1}{2}x to get \frac{5}{2}x.
x=6\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
x=\frac{6\times 2}{5}
Express 6\times \frac{2}{5} as a single fraction.
x=\frac{12}{5}
Multiply 6 and 2 to get 12.