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4x=x+2
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+2\right), the least common multiple of x+2,4.
4x-x=2
Subtract x from both sides.
3x=2
Combine 4x and -x to get 3x.
x=\frac{2}{3}
Divide both sides by 3.