Solve for x
x=-\frac{1}{3}\approx -0.333333333
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18x+12+6x=\left(3x+2\right)\times 4
Variable x cannot be equal to -\frac{2}{3} since division by zero is not defined. Multiply both sides of the equation by 6\left(3x+2\right)^{2}, the least common multiple of 2+3x,4+12x+9x^{2},12+18x.
24x+12=\left(3x+2\right)\times 4
Combine 18x and 6x to get 24x.
24x+12=12x+8
Use the distributive property to multiply 3x+2 by 4.
24x+12-12x=8
Subtract 12x from both sides.
12x+12=8
Combine 24x and -12x to get 12x.
12x=8-12
Subtract 12 from both sides.
12x=-4
Subtract 12 from 8 to get -4.
x=\frac{-4}{12}
Divide both sides by 12.
x=-\frac{1}{3}
Reduce the fraction \frac{-4}{12} to lowest terms by extracting and canceling out 4.
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