What is the answer to (x+1)/(x+5)= x/(x+3) ?

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

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(x+1)/(x+5)= x/(x+3)

\frac{x + 1}{x + 5} = \frac{x}{x + 3}

x = 3

Solution steps

\frac{x + 1}{x + 5} = \frac{x}{x + 3}

Cross multiply

x^{2} + 4 x + 3 = x^{2} + 5 x

Move

3

to the right side

x^{2} + 4 x = x^{2} + 5 x - 3

Subtract

x^{2} + 5 x

from both sides

x^{2} + 4 x - (x^{2} + 5 x) = x^{2} + 5 x - 3 - (x^{2} + 5 x)

Simplify

- x = - 3

Divide both sides by

- 1

x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = - 3

Combine undefined points with solutions:

x = 3

\frac{6}{x - 2} + 1 = \frac{3 x}{x - 2}

\frac{2 r - 3}{r} = \frac{7}{5}

(x + 6)^{- 1} = x^{- 1} + x

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

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

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