What is the answer to (3x+6)/(-6x-5)= 1/2 ?

The answer to (3x+6)/(-6x-5)= 1/2 is x=-17/12

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(3x+6)/(-6x-5)= 1/2

\frac{3 x + 6}{- 6 x - 5} = \frac{1}{2}

x = - \frac{17}{12}

Decimal Notation

x = - 1.41666 \dots

Solution steps

\frac{3 x + 6}{- 6 x - 5} = \frac{1}{2}

Cross multiply

6 x + 12 = - 6 x - 5

Move

12

to the right side

6 x = - 6 x - 17

Move

6 x

to the left side

12 x = - 17

Divide both sides by

12

x = - \frac{17}{12}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{6}

Combine undefined points with solutions:

x = - \frac{17}{12}

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

\frac{3}{8} = \frac{x - 6}{x + 9}

- 1000 \cdot (\frac{0.3}{x}) = - 2

\frac{3 x}{10} = \frac{2 x}{5 x}

\frac{x - 1}{x + 1} = 0

What is the answer to (3x+6)/(-6x-5)= 1/2 ?
The answer to (3x+6)/(-6x-5)= 1/2 is x=-17/12
Solve for x: (3x+6)/(-6x-5)= 1/2
The solution is x=-17/12