What is the answer to 3/(x+5)+4/x =2 ?

The answer to 3/(x+5)+4/x =2 is x= 5/2 ,x=-4

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3/(x+5)+4/x =2

\frac{3}{x + 5} + \frac{4}{x} = 2

x = \frac{5}{2}, x = - 4

Solution steps

\frac{3}{x + 5} + \frac{4}{x} = 2

Multiply by LCM

3 x + 4 (x + 5) = 2 x (x + 5)

Solve

3 x + 4 (x + 5) = 2 x (x + 5) : x = \frac{5}{2}, x = - 4

x = \frac{5}{2}, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 0

Combine undefined points with solutions:

x = \frac{5}{2}, x = - 4

\frac{4}{3} = \frac{84 - x}{x}

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

\frac{6}{7} = \frac{5}{x}

\frac{5}{x + 2} = \frac{6}{x - 2}

x - \frac{10}{x} = 3

What is the answer to 3/(x+5)+4/x =2 ?
The answer to 3/(x+5)+4/x =2 is x= 5/2 ,x=-4
Solve for x: 3/(x+5)+4/x =2
The solution is x= 5/2 ,x=-4