What is the answer to 5/(x+1)=3-x/(x+1) ?

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

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

\frac{5}{x + 1} = 3 - \frac{x}{x + 1}

x = 1

Solution steps

\frac{5}{x + 1} = 3 - \frac{x}{x + 1}

Multiply both sides by

x + 1

5 = 3 (x + 1) - x

Switch sides

3 (x + 1) - x = 5

Expand

3 (x + 1) - x : 2 x + 3

2 x + 3 = 5

Move

3

to the right side

2 x = 2

Divide both sides by

2

x = 1

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 1

a, r = \frac{a x + b}{a + b x}

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

\frac{5}{x} = 0.25

12 x^{- 2} 23 x^{- 1} + 5 = 0

(x) = \frac{1200 - 24 x + 1}{3 x ^{2}}

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