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3x-\frac{1}{2}-x=1
Subtract x from both sides.
2x-\frac{1}{2}=1
Combine 3x and -x to get 2x.
2x=1+\frac{1}{2}
Add \frac{1}{2} to both sides.
2x=\frac{2}{2}+\frac{1}{2}
Convert 1 to fraction \frac{2}{2}.
2x=\frac{2+1}{2}
Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
2x=\frac{3}{2}
Add 2 and 1 to get 3.
x=\frac{\frac{3}{2}}{2}
Divide both sides by 2.
x=\frac{3}{2\times 2}
Express \frac{\frac{3}{2}}{2} as a single fraction.
x=\frac{3}{4}
Multiply 2 and 2 to get 4.