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\frac{1}{2}+x=4
Swap sides so that all variable terms are on the left hand side.
x=4-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
x=\frac{8}{2}-\frac{1}{2}
Convert 4 to fraction \frac{8}{2}.
x=\frac{8-1}{2}
Since \frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
x=\frac{7}{2}
Subtract 1 from 8 to get 7.