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0.64=0.4x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
0.4x=0.64
Swap sides so that all variable terms are on the left hand side.
x=\frac{0.64}{0.4}
Divide both sides by 0.4.
x=\frac{64}{40}
Expand \frac{0.64}{0.4} by multiplying both numerator and the denominator by 100.
x=\frac{8}{5}
Reduce the fraction \frac{64}{40} to lowest terms by extracting and canceling out 8.