Solve for x
x=2
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2x-3+2+3\left(3-2x\right)=3\left(3x-2\right)-12
Multiply both sides of the equation by 6, the least common multiple of 6,3,2.
2x-1+3\left(3-2x\right)=3\left(3x-2\right)-12
Add -3 and 2 to get -1.
2x-1+9-6x=3\left(3x-2\right)-12
Use the distributive property to multiply 3 by 3-2x.
2x+8-6x=3\left(3x-2\right)-12
Add -1 and 9 to get 8.
-4x+8=3\left(3x-2\right)-12
Combine 2x and -6x to get -4x.
-4x+8=9x-6-12
Use the distributive property to multiply 3 by 3x-2.
-4x+8=9x-18
Subtract 12 from -6 to get -18.
-4x+8-9x=-18
Subtract 9x from both sides.
-13x+8=-18
Combine -4x and -9x to get -13x.
-13x=-18-8
Subtract 8 from both sides.
-13x=-26
Subtract 8 from -18 to get -26.
x=\frac{-26}{-13}
Divide both sides by -13.
x=2
Divide -26 by -13 to get 2.
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