First, multiply each side of the equation by color(red)(9.3)color(blue)(x)9.3x. This is the common denominator for the two fractions and will eliminate the fractions while keeping the equation balanced:
color(red)(9.3)color(blue)(x) xx 6.4/x = color(red)(9.3)color(blue)(x) xx 2.56/9.39.3x×6.4x=9.3x×2.569.3
color(red)(9.3)cancel(color(blue)(x)) xx 6.4/color(blue)(cancel(color(black)(x))) = cancel(color(red)(9.3))color(blue)(x) xx 2.56/9.3
color(red)(9.3) xx 6.4 = color(blue)(x) xx 2.56
59.52 = 2.56x
Now, divide each side of the equation by color(red)(2.56) to solve for x while keeping the equation balanced:
59.52/color(red)(2.56) = (2.56x)/color(red)(2.56)
23.25 = (color(red)(cancel(color(black)(2.56)))x)/cancel(color(red)(2.56))
23.25 = x
x = 23.25
