What is the answer to 10=(1+7x)/(7+x) ?

The answer to 10=(1+7x)/(7+x) is x=-23

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10=(1+7x)/(7+x)

10 = \frac{1 + 7 x}{7 + x}

x = - 23

Solution steps

10 = \frac{1 + 7 x}{7 + x}

Multiply both sides by

7 + x

10 (7 + x) = 1 + 7 x

Expand

10 (7 + x) : 70 + 10 x

70 + 10 x = 1 + 7 x

Move

70

to the right side

10 x = 7 x - 69

Move

7 x

to the left side

3 x = - 69

Divide both sides by

3

x = - 23

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = - 23

\frac{2}{3 x} + \frac{1}{6 x} = \frac{1}{4}

\frac{x - 10}{x - 9} = \frac{10}{11}

x^{- 2} + 10 x^{- 1} + 9 = 0

\frac{2}{x} + \frac{4}{3} - \frac{5}{2 x} = 1

0 = \frac{- 2 x - 2}{2 x - 12}