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3\left(x-3\right)-\left(2x+1\right)=6
Multiply both sides by 6.
3x-9-\left(2x+1\right)=6
Use the distributive property to multiply 3 by x-3.
3x-9-2x-1=6
To find the opposite of 2x+1, find the opposite of each term.
x-9-1=6
Combine 3x and -2x to get x.
x-10=6
Subtract 1 from -9 to get -10.
x=6+10
Add 10 to both sides.
x=16
Add 6 and 10 to get 16.