5x-45-4×5

Multiply the numerator by the reciprocal of the denominator.

(5x-4)55-4x

To write -4 as a fraction with a common denominator, multiply by xx.

(5x-4⋅xx)55-4x

Combine -4 and xx.

(5x+-4xx)55-4x

Combine the numerators over the common denominator.

5-4xx⋅55-4x

Cancel the common factor.

5-4xx⋅55-4x

Rewrite the expression.

1x⋅5

1x⋅5

Combine 1x and 5.

5x

Simplify (5/x-4)/((5-4x)/5)