What is the answer to (-2)/(x+5)= 8/(x-3) ?

The answer to (-2)/(x+5)= 8/(x-3) is x=-17/5

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(-2)/(x+5)= 8/(x-3)

\frac{- 2}{x + 5} = \frac{8}{x - 3}

x = - \frac{17}{5}

Decimal Notation

x = - 3.4

Solution steps

\frac{- 2}{x + 5} = \frac{8}{x - 3}

Cross multiply

- 2 x + 6 = 8 x + 40

Move

6

to the right side

- 2 x = 8 x + 34

Move

8 x

to the left side

- 10 x = 34

Divide both sides by

- 10

x = - \frac{17}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 3

Combine undefined points with solutions:

x = - \frac{17}{5}

\frac{3}{5 - x} + \frac{2 x}{5} = 25

\frac{2}{x + 4} = \frac{7}{x - 1}

\frac{3}{2 x} - \frac{1}{2} = 2 x

x^{- 2} = 9

\frac{5}{7 k + 4} = \frac{2}{2 k - 3}

What is the answer to (-2)/(x+5)= 8/(x-3) ?
The answer to (-2)/(x+5)= 8/(x-3) is x=-17/5
Solve for x: (-2)/(x+5)= 8/(x-3)
The solution is x=-17/5