Answer
Solving algebraically and graphically, we get the solution $x=-6$.
Work Step by Step
Solve algebraically:
$\frac{1}{2}x-3=6+2x$ (Multiply by 2)
$x-6=12+4x$ (Substract with $4x$)
$-3x-6=12$ (Add with $6$)
$-3x=18$
$x=\frac{18}{-3}$
$x=-6$
Solve graphically:
We sketch the graphs of $y_1=\frac{1}{2}x-3$ and $y_2=6+2x$ as shown below.
We can see that both intersect at $x=-6$.
So, the solution of the equation is $x=-6$.
