Answer
The solution is $x=2$.
Work Step by Step
The given equation is
$\Rightarrow \frac{1}{2}x-2=9-5x$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y= \frac{1}{2}x-2$ ...... (1)
$\Rightarrow y=9-5x$ ...... (2)
By using graphing calculator graph the system.
The intersection point is $(2,-1)$.
Check:
$\Rightarrow \frac{1}{2}x-2=9-5x$
$\Rightarrow \frac{1}{2}(2)-2=9-5(2)$
$\Rightarrow 1-2=9-10$
$\Rightarrow -1=-1$
True.
Hence, the solution is $x=2$.
