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

The answer to 1/(x-3)= 1/(2x+1) is x=-4

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

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

x = - 4

Solution steps

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

Cross multiply

2 x + 1 = x - 3

Move

1

to the right side

2 x = x - 4

Move

x

to the left side

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - \frac{1}{2}

Combine undefined points with solutions:

x = - 4

\frac{9 x - 1}{x - 1} = 0

- \frac{24}{( x - 3 ) ^{2}} = - 6

900 = \frac{x \cdot 1200}{x + 1200}

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

\frac{4}{9} = \frac{13}{x}

What is the answer to 1/(x-3)= 1/(2x+1) ?
The answer to 1/(x-3)= 1/(2x+1) is x=-4
Solve for x: 1/(x-3)= 1/(2x+1)
The solution is x=-4