What is the answer to 4/(x+2)= 5/(2x+1) ?

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

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

\frac{4}{x + 2} = \frac{5}{2 x + 1}

x = 2

Solution steps

\frac{4}{x + 2} = \frac{5}{2 x + 1}

Cross multiply

8 x + 4 = 5 x + 10

Move

4

to the right side

8 x = 5 x + 6

Move

5 x

to the left side

3 x = 6

Divide both sides by

3

x = 2

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 2

\frac{4}{x + 7} = \frac{6}{x}

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

\frac{7}{x - 3} = 2

\frac{1}{3 x - 4} + \frac{1}{5 x + 9} = 6

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

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