Solve for x
x=\frac{2}{3}\approx 0.666666667
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\left(3x+2\right)\left(2x-1\right)=x\left(6x-2\right)
Variable x cannot be equal to any of the values -\frac{2}{3},0 since division by zero is not defined. Multiply both sides of the equation by x\left(3x+2\right), the least common multiple of x,3x+2.
6x^{2}+x-2=x\left(6x-2\right)
Use the distributive property to multiply 3x+2 by 2x-1 and combine like terms.
6x^{2}+x-2=6x^{2}-2x
Use the distributive property to multiply x by 6x-2.
6x^{2}+x-2-6x^{2}=-2x
Subtract 6x^{2} from both sides.
x-2=-2x
Combine 6x^{2} and -6x^{2} to get 0.
x-2+2x=0
Add 2x to both sides.
3x-2=0
Combine x and 2x to get 3x.
3x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{3}
Divide both sides by 3.
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