Answer
The solution is $x=3$.
Work Step by Step
The given equation is
$\Rightarrow 5x-7=2(x+1)$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y=5x-7$ ...... (1)
$\Rightarrow y=2(x+1)$ ...... (2)
By using graphing calculator graph the system.
The intersection point is $(3,8)$.
Check:
$\Rightarrow 5x-7=2(x+1)$
$\Rightarrow 5(3)-7=2(3+1)$
$\Rightarrow 15-7=2(4)$
$\Rightarrow 8=8$
True.
Hence, the solution is $x=3$.