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3\times 17x-16=18
Multiply both sides of the equation by 9, the least common multiple of 3,9.
51x-16=18
Multiply 3 and 17 to get 51.
51x=18+16
Add 16 to both sides.
51x=34
Add 18 and 16 to get 34.
x=\frac{34}{51}
Divide both sides by 51.
x=\frac{2}{3}
Reduce the fraction \frac{34}{51} to lowest terms by extracting and canceling out 17.