Solve for x
x=4
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11\left(6-x\right)=2\left(7+x\right)
Multiply both sides of the equation by 66, the least common multiple of 6,33.
66-11x=2\left(7+x\right)
Use the distributive property to multiply 11 by 6-x.
66-11x=14+2x
Use the distributive property to multiply 2 by 7+x.
66-11x-2x=14
Subtract 2x from both sides.
66-13x=14
Combine -11x and -2x to get -13x.
-13x=14-66
Subtract 66 from both sides.
-13x=-52
Subtract 66 from 14 to get -52.
x=\frac{-52}{-13}
Divide both sides by -13.
x=4
Divide -52 by -13 to get 4.
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