What is the answer to 4/(x+6)= 6/x ?

The answer to 4/(x+6)= 6/x is x=-18

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4/(x+6)= 6/x

\frac{4}{x + 6} = \frac{6}{x}

x = - 18

Solution steps

\frac{4}{x + 6} = \frac{6}{x}

Cross multiply

4 x = 6 x + 36

Move

6 x

to the left side

- 2 x = 36

Divide both sides by

- 2

x = - 18

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 0

Combine undefined points with solutions:

x = - 18

- \frac{5}{x ( x - 1 )} = \frac{x + 5}{x}

2.7 = \frac{2.8}{29 \cdot 20.5 \cdot x}

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

\frac{12 x}{14 x - 2} \cdot 100 = 88.24

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