Solve for x
x=\frac{2}{29}\approx 0.068965517
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3\left(3x-2\right)+12x=8-4\left(2x+3\right)
Multiply both sides of the equation by 12, the least common multiple of 4,3.
9x-6+12x=8-4\left(2x+3\right)
Use the distributive property to multiply 3 by 3x-2.
21x-6=8-4\left(2x+3\right)
Combine 9x and 12x to get 21x.
21x-6=8-8x-12
Use the distributive property to multiply -4 by 2x+3.
21x-6=-4-8x
Subtract 12 from 8 to get -4.
21x-6+8x=-4
Add 8x to both sides.
29x-6=-4
Combine 21x and 8x to get 29x.
29x=-4+6
Add 6 to both sides.
29x=2
Add -4 and 6 to get 2.
x=\frac{2}{29}
Divide both sides by 29.
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