What is the answer to (3x)/(x+1)-5/(2x)= 3/(2x) ?

The answer to (3x)/(x+1)-5/(2x)= 3/(2x) is x=2,x=-2/3

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(3x)/(x+1)-5/(2x)= 3/(2x)

\frac{3 x}{x + 1} - \frac{5}{2 x} = \frac{3}{2 x}

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

Decimal Notation

x = 2, x = - 0.66666 \dots

Solution steps

\frac{3 x}{x + 1} - \frac{5}{2 x} = \frac{3}{2 x}

Multiply by LCM

6 x^{2} - 5 (x + 1) = 3 (x + 1)

Solve

6 x^{2} - 5 (x + 1) = 3 (x + 1) : x = 2, x = - \frac{2}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

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

x^{4} = \frac{11 x - 6}{6 x - 11}

\frac{3 x + 4}{x ^{2}} = \frac{2}{x}

\frac{x - 7}{x + 3} = \frac{10}{x + 3} - 3

7 - \frac{2}{x - 10} = x

- \frac{4 x}{x + 7} + 3 = \frac{6}{x + 7}

What is the answer to (3x)/(x+1)-5/(2x)= 3/(2x) ?
The answer to (3x)/(x+1)-5/(2x)= 3/(2x) is x=2,x=-2/3
Solve for x: (3x)/(x+1)-5/(2x)= 3/(2x)
The solution is x=2,x=-2/3