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x-5=\frac{3}{2}
Divide both sides by 2.
x=\frac{3}{2}+5
Add 5 to both sides.
x=\frac{3}{2}+\frac{10}{2}
Convert 5 to fraction \frac{10}{2}.
x=\frac{3+10}{2}
Since \frac{3}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.
x=\frac{13}{2}
Add 3 and 10 to get 13.