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I\left(x+2\right)=\left(x+2\right)\times 2-2x
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
Ix+2I=\left(x+2\right)\times 2-2x
Use the distributive property to multiply I by x+2.
Ix+2I=2x+4-2x
Use the distributive property to multiply x+2 by 2.
Ix+2I=4
Combine 2x and -2x to get 0.
Ix=4-2I
Subtract 2I from both sides.
\frac{Ix}{I}=\frac{4-2I}{I}
Divide both sides by I.
x=\frac{4-2I}{I}
Dividing by I undoes the multiplication by I.
x=-2+\frac{4}{I}
Divide 4-2I by I.
x=-2+\frac{4}{I}\text{, }x\neq -2
Variable x cannot be equal to -2.