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

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

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

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Multiply both sides by

x + 1

3 = x + 2 (x + 1)

Switch sides

x + 2 (x + 1) = 3

Expand

2 (x + 1) : 2 x + 2

x + 2 x + 2 = 3

Add similar elements:

x + 2 x = 3 x

3 x + 2 = 3

Move

2

to the right side

3 x = 1

Divide both sides by

3

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{1}{3}

x = \frac{6 x}{x ^{2} + 9}

3.47 = \frac{x}{4200 - x}

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

x = \frac{- 4 x - 3}{x}

\frac{x}{1 - x} = 1.48

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