Answer: [tex]x=1\frac{4}{5}[/tex]
Simplify both sides of the equation
[tex]\frac{6}{5} =\frac{-8}{3} x+6[/tex]
Flip the equation
[tex]\frac{-8}{3} x+6=\frac{6}{5}[/tex]
Subtract 6 from both sides
[tex]\frac{-8}{3} x+6-6=\frac{6}{5} -6[/tex]
[tex]\frac{-8}{3} x=\frac{-24}{5}[/tex]
Multiply both sides by 3/(-8)
[tex](\frac{3}{-8} )*\frac{-8}{3} x)=(\frac{3}{-8} )*(\frac{-24}{5} )[/tex]
[tex]x=\frac{9}{5}[/tex]
Turn 9/5 into a Mixed Number
[tex]x=\frac{9}{5} =1\frac{4}{5} \\x=1\frac{4}{5}[/tex]