What is the answer to (2x)/(x+3)-2= 5/x ?

The answer to (2x)/(x+3)-2= 5/x is x=-15/11

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(2x)/(x+3)-2= 5/x

\frac{2 x}{x + 3} - 2 = \frac{5}{x}

x = - \frac{15}{11}

Decimal Notation

x = - 1.36363 \dots

Solution steps

\frac{2 x}{x + 3} - 2 = \frac{5}{x}

Multiply by LCM

2 x^{2} - 2 x (x + 3) = 5 (x + 3)

Expand

- 2 x (x + 3) : - 2 x^{2} - 6 x

2 x^{2} - 2 x^{2} - 6 x = 5 (x + 3)

Add similar elements:

2 x^{2} - 2 x^{2} = 0

- 6 x = 5 (x + 3)

Expand

5 (x + 3) : 5 x + 15

- 6 x = 5 x + 15

Move

5 x

to the left side

- 11 x = 15

Divide both sides by

- 11

x = - \frac{15}{11}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 0

Combine undefined points with solutions:

x = - \frac{15}{11}

x = 0.01 (1 + \frac{400}{x})

2 π = \frac{2 π}{x}

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

1 - \frac{9}{10} = \frac{3}{10 x}

\frac{a x - 3}{2 a - 3 x} = 2

What is the answer to (2x)/(x+3)-2= 5/x ?
The answer to (2x)/(x+3)-2= 5/x is x=-15/11
Solve for x: (2x)/(x+3)-2= 5/x
The solution is x=-15/11