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x-1+1=3\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
x=3\left(x-2\right)
Add -1 and 1 to get 0.
x=3x-6
Use the distributive property to multiply 3 by x-2.
x-3x=-6
Subtract 3x from both sides.
-2x=-6
Combine x and -3x to get -2x.
x=\frac{-6}{-2}
Divide both sides by -2.
x=3
Divide -6 by -2 to get 3.