Answer:
The answer in the attached figure
Step-by-step explanation:
Method 1
we have
[tex]8-4x=2x-4[/tex]
Rewrite the equation as a compound system of equations
[tex]y=8-4x[/tex] -----> equation A
[tex]y=2x-4[/tex] -----> equation B
Using a graphing tool
The solution of the system of equations is the intersection point both graphs
see the attached figure
the solution is [tex]x=2[/tex]
Method 2
we have
[tex]8-4x=2x-4[/tex]
Group terms that contain the same variable and move the constant to the other side of equation
[tex]4x+2x=8+4[/tex]
Combine like terms
[tex]6x=12[/tex]
Divide by [tex]6[/tex] both sides
[tex]x=2[/tex]
