Greetings!
Solve for x.
[tex] 6.5x=5.2x+12.3[/tex]
Add -5.2x to both sides.
[tex](6.5x)+(-5.2)=(5.2x+12.3)+(-5.2)[/tex]
Simplify.
[tex]1.3x=12.3[/tex]
Divide both sides by 1.3.
[tex](1.3x)/1.3=(12.3)/1.3[/tex]
Simplify.
[tex]x=9.46153846[/tex]
Hope this helps.
-Benjamin