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x-x-2=5\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.
-2=5\left(x-1\right)
Combine x and -x to get 0.
-2=5x-5
Use the distributive property to multiply 5 by x-1.
5x-5=-2
Swap sides so that all variable terms are on the left hand side.
5x=-2+5
Add 5 to both sides.
5x=3
Add -2 and 5 to get 3.
x=\frac{3}{5}
Divide both sides by 5.