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18-2\left(2x-3\right)=3\left(3-x\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
18-4x+6=3\left(3-x\right)
Use the distributive property to multiply -2 by 2x-3.
24-4x=3\left(3-x\right)
Add 18 and 6 to get 24.
24-4x=9-3x
Use the distributive property to multiply 3 by 3-x.
24-4x+3x=9
Add 3x to both sides.
24-x=9
Combine -4x and 3x to get -x.
-x=9-24
Subtract 24 from both sides.
-x=-15
Subtract 24 from 9 to get -15.
x=15
Multiply both sides by -1.