Solve for x
x=6
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2\times 8=32+2\left(x+2\right)\left(-1\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+2\right), the least common multiple of x+2,2x+4.
16=32+2\left(x+2\right)\left(-1\right)
Multiply 2 and 8 to get 16.
16=32-2\left(x+2\right)
Multiply 2 and -1 to get -2.
16=32-2x-4
Use the distributive property to multiply -2 by x+2.
16=28-2x
Subtract 4 from 32 to get 28.
28-2x=16
Swap sides so that all variable terms are on the left hand side.
-2x=16-28
Subtract 28 from both sides.
-2x=-12
Subtract 28 from 16 to get -12.
x=\frac{-12}{-2}
Divide both sides by -2.
x=6
Divide -12 by -2 to get 6.
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