Solve for x
x=\frac{3}{7}\approx 0.428571429
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12+2\left(2x-3\right)=3\left(3-x\right)
Multiply both sides of the equation by 12, the least common multiple of 6,4.
12+4x-6=3\left(3-x\right)
Use the distributive property to multiply 2 by 2x-3.
6+4x=3\left(3-x\right)
Subtract 6 from 12 to get 6.
6+4x=9-3x
Use the distributive property to multiply 3 by 3-x.
6+4x+3x=9
Add 3x to both sides.
6+7x=9
Combine 4x and 3x to get 7x.
7x=9-6
Subtract 6 from both sides.
7x=3
Subtract 6 from 9 to get 3.
x=\frac{3}{7}
Divide both sides by 7.
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