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x+6=\frac{13}{2}
Divide both sides by 2.
x=\frac{13}{2}-6
Subtract 6 from both sides.
x=\frac{13}{2}-\frac{12}{2}
Convert 6 to fraction \frac{12}{2}.
x=\frac{13-12}{2}
Since \frac{13}{2} and \frac{12}{2} have the same denominator, subtract them by subtracting their numerators.
x=\frac{1}{2}
Subtract 12 from 13 to get 1.