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2\left(x+1\right)=x-2
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x+2=x-2
Use the distributive property to multiply 2 by x+1.
2x+2-x=-2
Subtract x from both sides.
x+2=-2
Combine 2x and -x to get x.
x=-2-2
Subtract 2 from both sides.
x=-4
Subtract 2 from -2 to get -4.