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\frac{1}{x}=7\times 2
Multiply both sides by 2.
1=7\times 2x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
1=14x
Multiply 7 and 2 to get 14.
14x=1
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{14}
Divide both sides by 14.