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\frac{9}{5}\times 2=1+x
Multiply both sides by 2.
\frac{9\times 2}{5}=1+x
Express \frac{9}{5}\times 2 as a single fraction.
\frac{18}{5}=1+x
Multiply 9 and 2 to get 18.
1+x=\frac{18}{5}
Swap sides so that all variable terms are on the left hand side.
x=\frac{18}{5}-1
Subtract 1 from both sides.
x=\frac{18}{5}-\frac{5}{5}
Convert 1 to fraction \frac{5}{5}.
x=\frac{18-5}{5}
Since \frac{18}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.
x=\frac{13}{5}
Subtract 5 from 18 to get 13.