What is the answer to 1/(2x)+3/(x+7)=(-1)/x ?

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

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1/(2x)+3/(x+7)=(-1)/x

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

x = - \frac{7}{3}

Decimal Notation

x = - 2.33333 \dots

Solution steps

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

Multiply by LCM

7 x + 7 = - 2 x - 14

Move

7

to the right side

7 x = - 2 x - 21

Move

2 x

to the left side

9 x = - 21

Divide both sides by

9

x = - \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 7, x = 0

Combine undefined points with solutions:

x = - \frac{7}{3}

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

x + \frac{8}{x} = - 9

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

- \frac{8 x}{x - 5} + 1 = \frac{2}{x - 5}

\frac{6}{x + 2} - 7 = 3

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