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