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7=2x-1
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-1.
2x-1=7
Swap sides so that all variable terms are on the left hand side.
2x=7+1
Add 1 to both sides.
2x=8
Add 7 and 1 to get 8.
x=\frac{8}{2}
Divide both sides by 2.
x=4
Divide 8 by 2 to get 4.