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