Solve for x
x=\frac{6}{11}\approx 0.545454545
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12-3\left(4-3x\right)=2\left(5x+3\right)-12x
Multiply both sides of the equation by 12, the least common multiple of 4,6.
12-12+9x=2\left(5x+3\right)-12x
Use the distributive property to multiply -3 by 4-3x.
9x=2\left(5x+3\right)-12x
Subtract 12 from 12 to get 0.
9x=10x+6-12x
Use the distributive property to multiply 2 by 5x+3.
9x=-2x+6
Combine 10x and -12x to get -2x.
9x+2x=6
Add 2x to both sides.
11x=6
Combine 9x and 2x to get 11x.
x=\frac{6}{11}
Divide both sides by 11.
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