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\frac{63}{6}=\frac{6+x}{2}
Divide both sides by 6.
\frac{21}{2}=\frac{6+x}{2}
Reduce the fraction \frac{63}{6} to lowest terms by extracting and canceling out 3.
\frac{21}{2}\times 2=6+x
Multiply both sides by 2.
21=6+x
Cancel out 2 and 2.
6+x=21
Swap sides so that all variable terms are on the left hand side.
x=21-6
Subtract 6 from both sides.
x=15
Subtract 6 from 21 to get 15.