What is the answer to 3/8 =(x-6)/(x+9) ?

The answer to 3/8 =(x-6)/(x+9) is x=15

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3/8 =(x-6)/(x+9)

\frac{3}{8} = \frac{x - 6}{x + 9}

x = 15

Solution steps

\frac{3}{8} = \frac{x - 6}{x + 9}

Cross multiply

3 x + 27 = 8 x - 48

Move

27

to the right side

3 x = 8 x - 75

Move

8 x

to the left side

- 5 x = - 75

Divide both sides by

- 5

x = 15

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = 15

- 1000 \cdot (\frac{0.3}{x}) = - 2

\frac{3 x}{10} = \frac{2 x}{5 x}

\frac{x - 1}{x + 1} = 0

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

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