Solve for x
x = \frac{18}{7} = 2\frac{4}{7} \approx 2.571428571
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2\left(2x-3\right)-3\left(2x-3x\right)=12
Multiply both sides of the equation by 12, the least common multiple of 6,4.
4x-6-3\left(2x-3x\right)=12
Use the distributive property to multiply 2 by 2x-3.
4x-6-3\left(-1\right)x=12
Combine 2x and -3x to get -x.
4x-6+3x=12
Multiply -3 and -1 to get 3.
7x-6=12
Combine 4x and 3x to get 7x.
7x=12+6
Add 6 to both sides.
7x=18
Add 12 and 6 to get 18.
x=\frac{18}{7}
Divide both sides by 7.
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