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