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