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x-6=\frac{7}{2}
Divide both sides by 2.
x=\frac{7}{2}+6
Add 6 to both sides.
x=\frac{7}{2}+\frac{12}{2}
Convert 6 to fraction \frac{12}{2}.
x=\frac{7+12}{2}
Since \frac{7}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.
x=\frac{19}{2}
Add 7 and 12 to get 19.