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

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

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

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

x = 2

Solution steps

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

Multiply by LCM

6 x + 2 (x + 1) = 6 (x + 1)

Expand

2 (x + 1) : 2 x + 2

6 x + 2 x + 2 = 6 (x + 1)

Add similar elements:

6 x + 2 x = 8 x

8 x + 2 = 6 (x + 1)

Expand

6 (x + 1) : 6 x + 6

8 x + 2 = 6 x + 6

Move

2

to the right side

8 x = 6 x + 4

Move

6 x

to the left side

2 x = 4

Divide both sides by

2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 2

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

\frac{3 V}{V ^{3}} = - 0.004

x - \frac{18}{x} = 7

0 = \frac{36 - x ^{2}}{x ^{2} + 6 x}

\frac{1}{100} = (\frac{5 - x}{x}) 1

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