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2x+\frac{1}{2}=4
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
2x=4-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
2x=\frac{8}{2}-\frac{1}{2}
Convert 4 to fraction \frac{8}{2}.
2x=\frac{8-1}{2}
Since \frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
2x=\frac{7}{2}
Subtract 1 from 8 to get 7.
x=\frac{\frac{7}{2}}{2}
Divide both sides by 2.
x=\frac{7}{2\times 2}
Express \frac{\frac{7}{2}}{2} as a single fraction.
x=\frac{7}{4}
Multiply 2 and 2 to get 4.