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

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

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

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

x = \frac{2}{3}

Decimal

x = 0.66666 \dots

Solution steps

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

Multiply both sides by

x + 1

4 - x = 2 (x + 1)

Expand

2 (x + 1) : 2 x + 2

4 - x = 2 x + 2

Move

4

to the right side

- x = 2 x - 2

Move

2 x

to the left side

- 3 x = - 2

Divide both sides by

- 3

x = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{2}{3}

\frac{x}{x + 2} + \frac{6}{x + 4} = 1

\frac{6 x - 1}{x ^{2} + 7} = 1

1 + \frac{9}{x ^{2}} = 0

0 = - 1 + \frac{900}{( p + 10 ) ^{2}}

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

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