What is the answer to (x+4)/x = 3/7 ?

The answer to (x+4)/x = 3/7 is x=-7

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(x+4)/x = 3/7

\frac{x + 4}{x} = \frac{3}{7}

x = - 7

Solution steps

\frac{x + 4}{x} = \frac{3}{7}

Cross multiply

7 x + 28 = x \cdot 3

Move

28

to the right side

7 x = x \cdot 3 - 28

Move

x 3

to the left side

4 x = - 28

Divide both sides by

4

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 7

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68 = \frac{1}{5 ( 20 x ^{50} ) + 2}

- 2 + \frac{1}{x + 5} = \frac{x}{x + 5}

a, x = \frac{2 a - 1}{3 - a}