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

The answer to (-4)/(x+3)= 5/(x-3) is x=-1/3

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

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

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

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

Cross multiply

- 4 x + 12 = 5 x + 15

Move

12

to the right side

- 4 x = 5 x + 3

Move

5 x

to the left side

- 9 x = 3

Divide both sides by

- 9

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 3

Combine undefined points with solutions:

x = - \frac{1}{3}

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

x, \frac{2 x - 6}{x} = 0

x^{2} - 2 x^{- 1} - 3 = 0

x, \frac{x + y}{x - y} = 0

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

What is the answer to (-4)/(x+3)= 5/(x-3) ?
The answer to (-4)/(x+3)= 5/(x-3) is x=-1/3
Solve for x: (-4)/(x+3)= 5/(x-3)
The solution is x=-1/3