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

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

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

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

x = 5, x = - 4

Solution steps

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

Cross multiply

(x + 3) x = (x + 5) \cdot 4

Solve

(x + 3) x = (x + 5) \cdot 4 : x = 5, x = - 4

x = 5, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 0

Combine undefined points with solutions:

x = 5, x = - 4

\frac{4}{3 x - 2} = \frac{6}{2 x + 1}

\frac{15}{x} = x - 2

\frac{1}{x + 3} + 2 = \frac{9}{x + 3}

\frac{2 x - 4}{x} = \frac{x - 2}{2}

x^{2} - 2 x - 3 = \frac{x + 4}{x - 1} - 5

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