What is the answer to 6/(x+7)= 8/x ?

The answer to 6/(x+7)= 8/x is x=-28

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6/(x+7)= 8/x

\frac{6}{x + 7} = \frac{8}{x}

x = - 28

Solution steps

\frac{6}{x + 7} = \frac{8}{x}

Cross multiply

6 x = 8 x + 56

Move

8 x

to the left side

- 2 x = 56

Divide both sides by

- 2

x = - 28

Verify Solutions

Find undefined (singularity) points:

x = - 7, x = 0

Combine undefined points with solutions:

x = - 28

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

4 = \frac{x ^{2}}{x - 1}

\frac{2 x}{3 x + 5} = \frac{3}{x + 4}

a, \frac{1}{a} + \frac{1}{b} = c

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