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

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

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

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

x = - 1, x = \frac{3}{2}

Decimal Notation

x = - 1, x = 1.5

Solution steps

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

Multiply by LCM

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

Solve

2 (x + 3) - 3 x^{2} = x^{2} : x = - 1, x = \frac{3}{2}

x = - 1, x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 0

Combine undefined points with solutions:

x = - 1, x = \frac{3}{2}

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

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

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

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

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

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