What is the answer to 3/x-2/(x+1)= 4/x ?

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

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3/x-2/(x+1)= 4/x

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

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

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

Multiply by LCM

x + 3 = 4 x + 4

Move

3

to the right side

x = 4 x + 1

Move

4 x

to the left side

- 3 x = 1

Divide both sides by

- 3

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

x = - \frac{1}{3}

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

\frac{x}{x + 1} + 6 = \frac{1}{x ^{2} + x}

9 x + 1 = \frac{8}{x}

\frac{2 x}{x - 2} = 9 + \frac{25 x ^{2}}{x - 2}

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

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