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1=2\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
1=2x-2
Use the distributive property to multiply 2 by x-1.
2x-2=1
Swap sides so that all variable terms are on the left hand side.
2x=1+2
Add 2 to both sides.
2x=3
Add 1 and 2 to get 3.
x=\frac{3}{2}
Divide both sides by 2.