What is the answer to -7/x =-5/(x+4) ?

The answer to -7/x =-5/(x+4) is x=-14

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-7/x =-5/(x+4)

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

x = - 14

Solution steps

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

Cross multiply

- 7 x - 28 = - x \cdot 5

Move

28

to the right side

- 7 x = - x \cdot 5 + 28

Move

x 5

to the left side

- 2 x = 28

Divide both sides by

- 2

x = - 14

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

x = - 14

x, \frac{a x + b}{c x + d} = 4

\frac{1 + 1}{2 ( 4 X - 6 )} = - 2

\frac{x ^{2}}{x} = 0

\frac{9}{x} = \frac{x + 6}{x + 2}

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