Please help me understand this

Answer:[tex]x=11[/tex]Step-by-step explanation:So we have the equation: [tex]\frac{-2-2x}{3} =-8[/tex]First, multiply both sides by 3. This cancels out the denominator: [tex]3(\frac{-2-2x}{3} )=3(-8)[/tex]The left side cancels. Multiply the right: [tex](-2-2x)=-24[/tex]Add 2 to both sides. The 2s on the left cancel: [tex](-2-2x)+2=(-24)+2\\-2x=-22[/tex]Divide both sides by -2. The -2 on the left cancel. [tex](-2x)/-2=(-22)/-2\\x=11[/tex]Therefore, the answer is 11.