Answer
$x=-6$
Work Step by Step
The given equation is
$\Rightarrow 3(x+4)-1=-7$
Use distributive property.
$\Rightarrow 3x+12-1=-7$
Add like terms.
$\Rightarrow 3x+11=-7$
Subtract $11$ from each side.
$\Rightarrow 3x+11-11=-7-11$
Simplify.
$\Rightarrow 3x=-18$
Divide each side by $3$.
$\Rightarrow \frac{3x}{3}=-\frac{18}{3}$
Simplify.
$\Rightarrow x=-6$
Hence, the solution is $x=-6$.