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\frac{7}{2}=x-5
Divide both sides by 2.
x-5=\frac{7}{2}
Swap sides so that all variable terms are on the left hand side.
x=\frac{7}{2}+5
Add 5 to both sides.
x=\frac{7}{2}+\frac{10}{2}
Convert 5 to fraction \frac{10}{2}.
x=\frac{7+10}{2}
Since \frac{7}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.
x=\frac{17}{2}
Add 7 and 10 to get 17.