### Home > A2C > Chapter 12 > Lesson 12.4.2 > Problem12-185

12-185.

Solve $\frac { x } { 2 x + 1 } - \frac { 1 - x } { 2 x - 1 } = \frac { 2 x + 7 } { 4 x ^ { 2 } - 1 }$ for $x$.

$\left(2x + 1\right)\left(2x − 1\right) = 4x^{2} − 1$

Multiply both sides by the least common multiple and simplify.

Set the equation equal to zero and factor, then you can use the Zero Product Property.

$x = 2 \text{ or } x = −1$