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5=\frac{8+x}{9}
Add 1 and 8 to get 9.
5=\frac{8}{9}+\frac{1}{9}x
Divide each term of 8+x by 9 to get \frac{8}{9}+\frac{1}{9}x.
\frac{8}{9}+\frac{1}{9}x=5
Swap sides so that all variable terms are on the left hand side.
\frac{1}{9}x=5-\frac{8}{9}
Subtract \frac{8}{9} from both sides.
\frac{1}{9}x=\frac{45}{9}-\frac{8}{9}
Convert 5 to fraction \frac{45}{9}.
\frac{1}{9}x=\frac{45-8}{9}
Since \frac{45}{9} and \frac{8}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{9}x=\frac{37}{9}
Subtract 8 from 45 to get 37.
x=\frac{37}{9}\times 9
Multiply both sides by 9, the reciprocal of \frac{1}{9}.
x=37
Cancel out 9 and 9.