Solve for x
x=-\frac{6}{11}\approx -0.545454545
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6\left(x+2\right)+4\left(2x-3\right)=3\left(x-2\right)
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
6x+12+4\left(2x-3\right)=3\left(x-2\right)
Use the distributive property to multiply 6 by x+2.
6x+12+8x-12=3\left(x-2\right)
Use the distributive property to multiply 4 by 2x-3.
14x+12-12=3\left(x-2\right)
Combine 6x and 8x to get 14x.
14x=3\left(x-2\right)
Subtract 12 from 12 to get 0.
14x=3x-6
Use the distributive property to multiply 3 by x-2.
14x-3x=-6
Subtract 3x from both sides.
11x=-6
Combine 14x and -3x to get 11x.
x=\frac{-6}{11}
Divide both sides by 11.
x=-\frac{6}{11}
Fraction \frac{-6}{11} can be rewritten as -\frac{6}{11} by extracting the negative sign.
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