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

The answer to 1/(x-2)= 3/(x+5) is x= 11/2

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

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

x = \frac{11}{2}

Solution steps

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

Cross multiply

x + 5 = 3 x - 6

Move

5

to the right side

x = 3 x - 11

Move

3 x

to the left side

- 2 x = - 11

Divide both sides by

- 2

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 5

Combine undefined points with solutions:

x = \frac{11}{2}

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

\frac{2 x}{( x ^{2} + 1 ) ^{2}} = 0

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

\frac{14}{3 y + 5} = \frac{3}{y}

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

What is the answer to 1/(x-2)= 3/(x+5) ?
The answer to 1/(x-2)= 3/(x+5) is x= 11/2
Solve for x: 1/(x-2)= 3/(x+5)
The solution is x= 11/2