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

The answer to 2+2/(x+3)=(3x)/(x+3) is x=8

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

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

x = 8

Solution steps

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

Multiply both sides by

x + 3

2 (x + 3) + 2 = 3 x

Expand

2 (x + 3) + 2 : 2 x + 8

2 x + 8 = 3 x

Move

8

to the right side

2 x = 3 x - 8

Move

3 x

to the left side

- x = - 8

Divide both sides by

- 1

x = 8

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 8

\frac{1}{x + 1} + 3 = \frac{10}{x + 1}

\frac{x + 2}{4} + \frac{3}{x - 1} = 7

3 + \frac{10}{x} = \frac{1}{2}

x - 2 - \frac{( x - 2 ) ( x - 1 )}{x - 1} = 0

\frac{2}{x + 6} + 3 = \frac{x}{x + 6}

What is the answer to 2+2/(x+3)=(3x)/(x+3) ?
The answer to 2+2/(x+3)=(3x)/(x+3) is x=8
Solve for x: 2+2/(x+3)=(3x)/(x+3)
The solution is x=8