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x-\frac{3}{2}=\frac{11}{2}
Divide both sides by 2.
x=\frac{11}{2}+\frac{3}{2}
Add \frac{3}{2} to both sides.
x=\frac{11+3}{2}
Since \frac{11}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.
x=\frac{14}{2}
Add 11 and 3 to get 14.
x=7
Divide 14 by 2 to get 7.