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