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5x-3\left(x-1\right)=9
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-3x+3=9
Use the distributive property to multiply -3 by x-1.
2x+3=9
Combine 5x and -3x to get 2x.
2x=9-3
Subtract 3 from both sides.
2x=6
Subtract 3 from 9 to get 6.
x=\frac{6}{2}
Divide both sides by 2.
x=3
Divide 6 by 2 to get 3.