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