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9+15x\times \frac{1}{5}=6x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15x, the least common multiple of 15x,5.
9+3x=6x
Multiply 15 and \frac{1}{5} to get 3.
9+3x-6x=0
Subtract 6x from both sides.
9-3x=0
Combine 3x and -6x to get -3x.
-3x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9}{-3}
Divide both sides by -3.
x=3
Divide -9 by -3 to get 3.