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3\times 15=10x
Multiply both sides of the equation by 30, the least common multiple of 10,3.
45=10x
Multiply 3 and 15 to get 45.
10x=45
Swap sides so that all variable terms are on the left hand side.
x=\frac{45}{10}
Divide both sides by 10.
x=\frac{9}{2}
Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.