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\left(x-1\right)\times 2+x=x-1
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
2x-2+x=x-1
Use the distributive property to multiply x-1 by 2.
3x-2=x-1
Combine 2x and x to get 3x.
3x-2-x=-1
Subtract x from both sides.
2x-2=-1
Combine 3x and -x to get 2x.
2x=-1+2
Add 2 to both sides.
2x=1
Add -1 and 2 to get 1.
x=\frac{1}{2}
Divide both sides by 2.