What is the answer to (x+6)/x = 10/7 ?

The answer to (x+6)/x = 10/7 is x=14

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(x+6)/x = 10/7

\frac{x + 6}{x} = \frac{10}{7}

x = 14

Solution steps

\frac{x + 6}{x} = \frac{10}{7}

Cross multiply

7 x + 42 = x \cdot 10

Move

42

to the right side

7 x = x \cdot 10 - 42

Move

x 10

to the left side

- 3 x = - 42

Divide both sides by

- 3

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 14

\frac{x + 2}{6} - \frac{4 - x}{x} = 1

4 = \frac{2}{x}

4 = \frac{5.2}{x}

\frac{x ^{2} - 46 + 17}{2 x} = 7

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