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

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 of 5-4x.
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)

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