#### Answer

The solution is $x=-\dfrac{7}{2}$

#### Work Step by Step

$|7+2x|=0$
Since the absolute value equation is equal to $0$, the solution can be found by solving the following equation:
$7+2x=0$
Take $7$ to the right side:
$2x=-7$
Solve for $x$:
$x=-\dfrac{7}{2}$