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6x-3x+x=18
Multiply both sides of the equation by 18, the least common multiple of 3,6,18.
3x+x=18
Combine 6x and -3x to get 3x.
4x=18
Combine 3x and x to get 4x.
x=\frac{18}{4}
Divide both sides by 4.
x=\frac{9}{2}
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.