Answer
The solution is $x=1$.
Work Step by Step
The given equation is
$\Rightarrow -2x+6=5x-1$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y=-2x+6$ ...... (1)
$\Rightarrow y=5x-1$ ...... (2)
By using graphing calculator graph the system.
The intersection point is $(1,4)$.
Check:
$\Rightarrow -2x+6=5x-1$
$\Rightarrow -2(1)+6=5(1)-1$
$\Rightarrow -2+6=5-1$
$\Rightarrow 4=4$
True.
Hence, the solution is $x=1$.
