Solve for x
x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333
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\left(x-11\right)\times 6=-x\times 3
Variable x cannot be equal to any of the values 0,11 since division by zero is not defined. Multiply both sides of the equation by x\left(x-11\right), the least common multiple of x,11-x.
6x-66=-x\times 3
Use the distributive property to multiply x-11 by 6.
6x-66=-3x
Multiply -1 and 3 to get -3.
6x-66+3x=0
Add 3x to both sides.
9x-66=0
Combine 6x and 3x to get 9x.
9x=66
Add 66 to both sides. Anything plus zero gives itself.
x=\frac{66}{9}
Divide both sides by 9.
x=\frac{22}{3}
Reduce the fraction \frac{66}{9} to lowest terms by extracting and canceling out 3.
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