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

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

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

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

x = - 2

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 + 10

Move

6 x

to the left side

- 5 x = 10

Divide both sides by

- 5

x = - 2

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - 2

\frac{3}{4} = \frac{15}{x}

\frac{5}{x - 3} = \frac{7}{x - 9}

\frac{9}{x - 2} = 5 - \frac{6}{x - 2}

B, r^{3} = \frac{f}{B} + h

\frac{a x - b}{c + x} = d

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