Solve for x
x=3
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5\left(8-x\right)=x+22
Variable x cannot be equal to -22 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+22\right), the least common multiple of 22+x,5.
40-5x=x+22
Use the distributive property to multiply 5 by 8-x.
40-5x-x=22
Subtract x from both sides.
40-6x=22
Combine -5x and -x to get -6x.
-6x=22-40
Subtract 40 from both sides.
-6x=-18
Subtract 40 from 22 to get -18.
x=\frac{-18}{-6}
Divide both sides by -6.
x=3
Divide -18 by -6 to get 3.
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