What is the answer to (x+5)/x = 3/4 ?

The answer to (x+5)/x = 3/4 is x=-20

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(x+5)/x = 3/4

\frac{x + 5}{x} = \frac{3}{4}

x = - 20

Solution steps

\frac{x + 5}{x} = \frac{3}{4}

Cross multiply

4 x + 20 = x \cdot 3

Move

20

to the right side

4 x = x \cdot 3 - 20

Move

x 3

to the left side

x = - 20

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 20

\frac{8}{v + 2} = \frac{4}{5}

\frac{26}{15} = \frac{104}{70 - w}

2 x + \frac{1}{x} = 4

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

\frac{c - 5}{5 - c} = 1