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3\left(x-3\right)+2x=6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-9+2x=6
Use the distributive property to multiply 3 by x-3.
5x-9=6
Combine 3x and 2x to get 5x.
5x=6+9
Add 9 to both sides.
5x=15
Add 6 and 9 to get 15.
x=\frac{15}{5}
Divide both sides by 5.
x=3
Divide 15 by 5 to get 3.