What is the answer to (-7)/(x+4)= 3/(x-5) ?

The answer to (-7)/(x+4)= 3/(x-5) is x= 23/10

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(-7)/(x+4)= 3/(x-5)

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

x = \frac{23}{10}

Decimal Notation

x = 2.3

Solution steps

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

Cross multiply

- 7 x + 35 = 3 x + 12

Move

35

to the right side

- 7 x = 3 x - 23

Move

3 x

to the left side

- 10 x = - 23

Divide both sides by

- 10

x = \frac{23}{10}

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 5

Combine undefined points with solutions:

x = \frac{23}{10}

x, y = \frac{1}{x + 1}

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

\frac{7}{6} = \frac{2}{k}

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

\frac{4 x}{x - 8} + 1 = \frac{2}{x - 8}

What is the answer to (-7)/(x+4)= 3/(x-5) ?
The answer to (-7)/(x+4)= 3/(x-5) is x= 23/10
Solve for x: (-7)/(x+4)= 3/(x-5)
The solution is x= 23/10