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\left(x-1\right)\times 3=x\times 2
Variable x cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by x\left(x-1\right), the least common multiple of x,x-1.
3x-3=x\times 2
Use the distributive property to multiply x-1 by 3.
3x-3-x\times 2=0
Subtract x\times 2 from both sides.
x-3=0
Combine 3x and -x\times 2 to get x.
x=3
Add 3 to both sides. Anything plus zero gives itself.