What is the answer to -2/11 = 2/(5x+4) ?

The answer to -2/11 = 2/(5x+4) is x=-3

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-2/11 = 2/(5x+4)

- \frac{2}{11} = \frac{2}{5 x + 4}

x = - 3

Solution steps

- \frac{2}{11} = \frac{2}{5 x + 4}

Cross multiply

- 2 (5 x + 4) = 22

Divide both sides by

- 2

5 x + 4 = - 11

Move

4

to the right side

5 x = - 15

Divide both sides by

5

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{5}

Combine undefined points with solutions:

x = - 3

- 1 (x) = \frac{x ^{2} - 6 x + 3}{x + 4}

\frac{20 t}{t ^{2} + 4} = 4

\frac{1}{x - 2} + 2 = \frac{11}{x - 2}

\frac{5}{x} + \frac{3}{4} = 7

(z + 1) (z + 2) = 1 + 3 z^{- 1} + 2 z^{- 2}