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3x-6+2x=2\left(x-3\right)+1
Use the distributive property to multiply 3 by x-2.
5x-6=2\left(x-3\right)+1
Combine 3x and 2x to get 5x.
5x-6=2x-6+1
Use the distributive property to multiply 2 by x-3.
5x-6=2x-5
Add -6 and 1 to get -5.
5x-6-2x=-5
Subtract 2x from both sides.
3x-6=-5
Combine 5x and -2x to get 3x.
3x=-5+6
Add 6 to both sides.
3x=1
Add -5 and 6 to get 1.
x=\frac{1}{3}
Divide both sides by 3.