The question gives us the equation [tex]\frac{1}{5}(2x-10)+4x=-3(\frac{1}{5}x+4)[/tex] and are told to solve for the variable [tex]x[/tex]. To do this, we need to simplify the equation by using the distributive property. This gives us [tex]\frac{2}{5}x-2+4x=-\frac{3}{5}-12[/tex]. Now, we combine like terms. When we do this, we get [tex]\frac{22}{5}x-2=-\frac{3}{5}x-12[/tex]. Next, we add 12 to both sides. This gives us [tex]\frac{22}{5}x+10=-\frac{3}{5}x[/tex]. Then, we subtract \frac{22}{5} from both sides and simplify. This gives us [tex]10=-5x[/tex]. Now, we divide both sides by [tex]-5[/tex] to get x = -2. Therefore, the answer to this problem is [tex]\boxed{x=-2}[/tex]. Hope this helped!
