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