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4=2\times \frac{1}{4}\times 4x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.
4=\frac{2}{4}\times 4x
Multiply 2 and \frac{1}{4} to get \frac{2}{4}.
4=\frac{1}{2}\times 4x
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
4=\frac{4}{2}x
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
4=2x
Divide 4 by 2 to get 2.
2x=4
Swap sides so that all variable terms are on the left hand side.
x=\frac{4}{2}
Divide both sides by 2.
x=2
Divide 4 by 2 to get 2.