Solve for x
x=2
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4\left(2x-3\right)-6\left(2-3x\right)=3\left(4x+3\right)-5
Multiply both sides of the equation by 12, the least common multiple of 3,2,4,12.
8x-12-6\left(2-3x\right)=3\left(4x+3\right)-5
Use the distributive property to multiply 4 by 2x-3.
8x-12-12+18x=3\left(4x+3\right)-5
Use the distributive property to multiply -6 by 2-3x.
8x-24+18x=3\left(4x+3\right)-5
Subtract 12 from -12 to get -24.
26x-24=3\left(4x+3\right)-5
Combine 8x and 18x to get 26x.
26x-24=12x+9-5
Use the distributive property to multiply 3 by 4x+3.
26x-24=12x+4
Subtract 5 from 9 to get 4.
26x-24-12x=4
Subtract 12x from both sides.
14x-24=4
Combine 26x and -12x to get 14x.
14x=4+24
Add 24 to both sides.
14x=28
Add 4 and 24 to get 28.
x=\frac{28}{14}
Divide both sides by 14.
x=2
Divide 28 by 14 to get 2.
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