What is the answer to 1/(2x+5)= 3/(x-5) ?

The answer to 1/(2x+5)= 3/(x-5) is x=-4

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1/(2x+5)= 3/(x-5)

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

x = - 4

Solution steps

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

Cross multiply

x - 5 = 6 x + 15

Move

5

to the right side

x = 6 x + 20

Move

6 x

to the left side

- 5 x = 20

Divide both sides by

- 5

x = - 4

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - 4

\frac{1}{2} = \frac{1}{4 + c}

\frac{7}{15} = \frac{12}{5 x}

\frac{3}{x} = - 51

y, x = \frac{- 7}{1 + 4 y}

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

What is the answer to 1/(2x+5)= 3/(x-5) ?
The answer to 1/(2x+5)= 3/(x-5) is x=-4
Solve for x: 1/(2x+5)= 3/(x-5)
The solution is x=-4