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x-5=\frac{2}{4}
Divide both sides by 4.
x-5=\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
x=\frac{1}{2}+5
Add 5 to both sides.
x=\frac{1}{2}+\frac{10}{2}
Convert 5 to fraction \frac{10}{2}.
x=\frac{1+10}{2}
Since \frac{1}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.
x=\frac{11}{2}
Add 1 and 10 to get 11.