What is the answer to (x+2)/(x+6)= x/(x+3) ?

The answer to (x+2)/(x+6)= x/(x+3) is x=6

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(x+2)/(x+6)= x/(x+3)

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

x = 6

Solution steps

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

Cross multiply

x^{2} + 5 x + 6 = x^{2} + 6 x

Move

6

to the right side

x^{2} + 5 x = x^{2} + 6 x - 6

Subtract

x^{2} + 6 x

from both sides

x^{2} + 5 x - (x^{2} + 6 x) = x^{2} + 6 x - 6 - (x^{2} + 6 x)

Simplify

- x = - 6

Divide both sides by

- 1

x = 6

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = - 3

Combine undefined points with solutions:

x = 6

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

4 = \frac{9.2}{x}

\frac{3}{y} = \frac{2}{2 - y}

\frac{4}{5} = \frac{8}{x}

\frac{x ^{2}}{x + 180} = 90

What is the answer to (x+2)/(x+6)= x/(x+3) ?
The answer to (x+2)/(x+6)= x/(x+3) is x=6
Solve for x: (x+2)/(x+6)= x/(x+3)
The solution is x=6