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2x-1=\frac{1}{2}
Combine x and x to get 2x.
2x=\frac{1}{2}+1
Add 1 to both sides.
2x=\frac{1}{2}+\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
2x=\frac{1+2}{2}
Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.
2x=\frac{3}{2}
Add 1 and 2 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.