What is the answer to (x+5)/x = 4/5 ?

The answer to (x+5)/x = 4/5 is x=-25

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(x+5)/x = 4/5

\frac{x + 5}{x} = \frac{4}{5}

x = - 25

Solution steps

\frac{x + 5}{x} = \frac{4}{5}

Cross multiply

5 x + 25 = x \cdot 4

Move

25

to the right side

5 x = x \cdot 4 - 25

Move

x 4

to the left side

x = - 25

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 25

\frac{2}{p} + \frac{3}{p + 1} = 5

x = \frac{( x - 1 )}{( x - 1 )}

\frac{1}{x ^{2} + 10 x + 25} = 4

\frac{7}{2 - x} = 0

\frac{2 x}{x - 1} - 2 = \frac{3}{x + 1}