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

The answer to 3/(2x)+2=(2x)/(x+1) is x=-3/7

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

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

x = - \frac{3}{7}

Decimal

x = - 0.42857 \dots

Solution steps

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

Multiply by LCM

4 x^{2} + 7 x + 3 = 4 x^{2}

Move

3

to the right side

4 x^{2} + 7 x = 4 x^{2} - 3

Move

4 x^{2}

to the left side

7 x = - 3

Divide both sides by

7

x = - \frac{3}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = - \frac{3}{7}

- \frac{8}{2 x + 6} + 2 = - \frac{4}{x + 3}

\frac{1}{x + 2} + \frac{1}{x ^{2} - 2 x} = 8

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

\frac{5}{6 x} + \frac{1}{x} = - 4

\frac{x}{x - 1} + 9 = \frac{1}{x ^{2} - x}

What is the answer to 3/(2x)+2=(2x)/(x+1) ?
The answer to 3/(2x)+2=(2x)/(x+1) is x=-3/7
Solve for x: 3/(2x)+2=(2x)/(x+1)
The solution is x=-3/7