Solve for x
x=-4
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x-2=\left(x+1\right)\times 2
Variable x cannot be equal to any of the values -2,-1,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+1\right)\left(x+2\right), the least common multiple of x^{2}+3x+2,x^{2}-4.
x-2=2x+2
Use the distributive property to multiply x+1 by 2.
x-2-2x=2
Subtract 2x from both sides.
-x-2=2
Combine x and -2x to get -x.
-x=2+2
Add 2 to both sides.
-x=4
Add 2 and 2 to get 4.
x=-4
Multiply both sides by -1.
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