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2\left(x+4\right)=x+2
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+2,2.
2x+8=x+2
Use the distributive property to multiply 2 by x+4.
2x+8-x=2
Subtract x from both sides.
x+8=2
Combine 2x and -x to get x.
x=2-8
Subtract 8 from both sides.
x=-6
Subtract 8 from 2 to get -6.