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3\left(x-3\right)=2\left(x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-9=2\left(x+2\right)
Use the distributive property to multiply 3 by x-3.
3x-9=2x+4
Use the distributive property to multiply 2 by x+2.
3x-9-2x=4
Subtract 2x from both sides.
x-9=4
Combine 3x and -2x to get x.
x=4+9
Add 9 to both sides.
x=13
Add 4 and 9 to get 13.