Answer
The solution is $x=-6$.
Work Step by Step
The given equation is
$\Rightarrow -6(x+4)=-3x-6$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y=-6(x+4)$ ...... (1)
$\Rightarrow y=-3x-6$ ...... (2)
By using graphing calculator graph the system.
The intersection point is $(-6,12)$.
Check:
$\Rightarrow -6(x+4)=-3x-6$
$\Rightarrow -6(-6+4)=-3(-6)-6$
$\Rightarrow -6(-2)=18-6$
$\Rightarrow 12=12$
True.
Hence, the solution is $x=-6$.
