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