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\frac{12}{17}\times 10=x
Multiply both sides by 10.
\frac{12\times 10}{17}=x
Express \frac{12}{17}\times 10 as a single fraction.
\frac{120}{17}=x
Multiply 12 and 10 to get 120.
x=\frac{120}{17}
Swap sides so that all variable terms are on the left hand side.