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

The answer to 2/(2x+1)=(-3)/7 is x=-17/6

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

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

x = - \frac{17}{6}

Solution steps

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

Cross multiply

14 = - 3 (2 x + 1)

Switch sides

- 3 (2 x + 1) = 14

Divide both sides by

- 3

2 x + 1 = - \frac{14}{3}

Move

1

to the right side

2 x = - \frac{17}{3}

Divide both sides by

2

x = - \frac{17}{6}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = - \frac{17}{6}

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

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

\frac{x ^{2}}{x + 6} - 3 = 0

\frac{15 x - 5}{3 x - 1} = 5

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

What is the answer to 2/(2x+1)=(-3)/7 ?
The answer to 2/(2x+1)=(-3)/7 is x=-17/6
Solve for x: 2/(2x+1)=(-3)/7
The solution is x=-17/6