Solve for x
x = \frac{17}{2} = 8\frac{1}{2} = 8.5
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2x\times 3-2\times 9=3\times 11
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of 6,6x,4x.
6x-2\times 9=3\times 11
Multiply 2 and 3 to get 6.
6x-18=3\times 11
Multiply -2 and 9 to get -18.
6x-18=33
Multiply 3 and 11 to get 33.
6x=33+18
Add 18 to both sides.
6x=51
Add 33 and 18 to get 51.
x=\frac{51}{6}
Divide both sides by 6.
x=\frac{17}{2}
Reduce the fraction \frac{51}{6} to lowest terms by extracting and canceling out 3.
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