Solve for x
x=6
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12\times 2+132x\times \frac{1}{4}=6\times 81+132x\left(-\frac{1}{3}\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 132x, the least common multiple of 11x,4,22x,3.
24+132x\times \frac{1}{4}=6\times 81+132x\left(-\frac{1}{3}\right)
Multiply 12 and 2 to get 24.
24+33x=6\times 81+132x\left(-\frac{1}{3}\right)
Multiply 132 and \frac{1}{4} to get 33.
24+33x=486+132x\left(-\frac{1}{3}\right)
Multiply 6 and 81 to get 486.
24+33x=486-44x
Multiply 132 and -\frac{1}{3} to get -44.
24+33x+44x=486
Add 44x to both sides.
24+77x=486
Combine 33x and 44x to get 77x.
77x=486-24
Subtract 24 from both sides.
77x=462
Subtract 24 from 486 to get 462.
x=\frac{462}{77}
Divide both sides by 77.
x=6
Divide 462 by 77 to get 6.
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