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

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

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

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

x = 1

Solution steps

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

Cross multiply

x + 2 = 2 x + 1

Move

2

to the right side

x = 2 x - 1

Move

2 x

to the left side

- x = - 1

Divide both sides by

- 1

x = 1

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 1

- \frac{128}{x ^{2}} + 2 x = 0

\frac{x}{x + 1} = \frac{7}{6}

0 = \frac{3}{x + 4}

(- \frac{3}{x})^{- 3} = - 8

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

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