Answer
The solution is $x=-4$.
Work Step by Step
The given equation is
$\Rightarrow -5+\frac{1}{4}x=3x+6$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y=-5+\frac{1}{4}x$ ...... (1)
$\Rightarrow y=3x+6$ ...... (2)
By using graphing calculator graph the system.
The intersection point is $(-4,-6)$.
Check:
$\Rightarrow -5+\frac{1}{4}x=3x+6$
$\Rightarrow -5+\frac{1}{4}(-4)=3(-4)+6$
$\Rightarrow -5-1=-12+6$
$\Rightarrow -6=-6$
True.
Hence, the solution is $x=-4$.
