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18x\times \frac{1}{9}+18=3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 18x, the least common multiple of 9,x,6.
\frac{18}{9}x+18=3x
Multiply 18 and \frac{1}{9} to get \frac{18}{9}.
2x+18=3x
Divide 18 by 9 to get 2.
2x+18-3x=0
Subtract 3x from both sides.
-x+18=0
Combine 2x and -3x to get -x.
-x=-18
Subtract 18 from both sides. Anything subtracted from zero gives its negation.
x=18
Multiply both sides by -1.