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

The answer to 8/x = 6/(7-x) is x=4

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8/x = 6/(7-x)

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

x = 4

Solution steps

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

Cross multiply

56 - 8 x = x \cdot 6

Move

56

to the right side

- 8 x = x \cdot 6 - 56

Move

x 6

to the left side

- 14 x = - 56

Divide both sides by

- 14

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 7

Combine undefined points with solutions:

x = 4

\frac{6}{n - 8} = \frac{7}{6}

\frac{5 ( - x + 4 )}{x ^{3}} = 0

\frac{2 x}{5} + \frac{4}{3 x} = 0

\frac{( c + 1 )}{2 c - 2} = \frac{1}{2}

q, t = - \frac{1}{q} rs