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

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

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

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

x = - 3

Solution steps

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

Cross multiply

4 x - 2 = 5 x + 1

Move

2

to the right side

4 x = 5 x + 3

Move

5 x

to the left side

- x = 3

Divide both sides by

- 1

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{5}, x = \frac{1}{2}

Combine undefined points with solutions:

x = - 3

\frac{9 x}{x + 1} = 2 - \frac{9}{x + 1}

\frac{5}{8} = \frac{20}{x}

\frac{1}{x ^{2} - 4} = 0

\frac{x - 2}{x} = \frac{x - 4}{x - 6}

\frac{3}{8} = \frac{6 w - 7}{2 w + 14}

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