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0=2x-6
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -x+1.
2x-6=0
Swap sides so that all variable terms are on the left hand side.
2x=6
Add 6 to both sides. Anything plus zero gives itself.
x=\frac{6}{2}
Divide both sides by 2.
x=3
Divide 6 by 2 to get 3.