Answer
The solution is $x=2$.
Work Step by Step
The given equation is
$\Rightarrow -\frac{3}{2}x-2=-4x+3$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y=-\frac{3}{2}x-2$ ...... (1)
$\Rightarrow y=-4x+3$ ...... (2)
Use the graph.
The intersection point is $(2,5)$.
Check:
$\Rightarrow -\frac{3}{2}x-2=-4x+3$
$\Rightarrow -\frac{3}{2}(2)-2=-4(2)+3$
$\Rightarrow -3-2=-8+3$
$\Rightarrow -5=-5$
True.
Hence, the solution is $x=2$.
