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

The answer to 7/(x-5)= 5/(x+7) is x=-37

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

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

x = - 37

Solution steps

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

Cross multiply

7 x + 49 = 5 x - 25

Move

49

to the right side

7 x = 5 x - 74

Move

5 x

to the left side

2 x = - 74

Divide both sides by

2

x = - 37

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 7

Combine undefined points with solutions:

x = - 37

y, s (y) = \frac{7 y}{y + 9}

\frac{x}{2 a} = \frac{3 a}{6 x - 5 a}

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

\frac{5}{r - 9} = \frac{8}{r + 5}

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

What is the answer to 7/(x-5)= 5/(x+7) ?
The answer to 7/(x-5)= 5/(x+7) is x=-37
Solve for x: 7/(x-5)= 5/(x+7)
The solution is x=-37