Verified answer

[tex]\displaystyle 0,2(4x-5)-6=3-0,5(x-8)\\0,8x-1-6=3-0,5x+4\\0,8x-7=7-0,5x\\0,8x+0,5x=7+7\\1,3x=14\\\\x=\frac{140}{13}=10\frac{10}{13}[/tex]