What is the answer to (x-4)/x = 5/7 ?

The answer to (x-4)/x = 5/7 is x=14

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(x-4)/x = 5/7

\frac{x - 4}{x} = \frac{5}{7}

x = 14

Solution steps

\frac{x - 4}{x} = \frac{5}{7}

Cross multiply

7 x - 28 = x \cdot 5

Move

28

to the right side

7 x = x \cdot 5 + 28

Move

x 5

to the left side

2 x = 28

Divide both sides by

2

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 14

0.18 + x = ln ((1 - x)^{- 2})

\frac{x ^{2}}{3 - x} = 7

\frac{x + 5}{x - 4} = - \frac{2}{x}

16.1 = (1.8 - 1) \cdot \frac{2}{x}

x - \frac{8}{x - 4} = 11