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4x=3\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 8\left(x+2\right), the least common multiple of 2x+4,8.
4x=3x+6
Use the distributive property to multiply 3 by x+2.
4x-3x=6
Subtract 3x from both sides.
x=6
Combine 4x and -3x to get x.