Answer:
[tex]\large\boxed{x=-\dfrac{1}{2}=-0.5}[/tex]
Step-by-step explanation:
[tex]6-6x=2(x+5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\6-6x=(2)(x)+(2)(5)\\\\6-6x=2x+10\qquad\text{subtract 6 from both sides}\\\\6-6-6x=2x+10-6\\\\-6x=2x+4\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\-6x-2x=2x-2x+4\\\\-8x=4\qquad\text{divide both sides by (-8)}\\\\\dfrac{-8x}{-8}=\dfrac{4}{-8}\\\\x=-\dfrac{4:4}{8:4}\\\\x=-\dfrac{1}{2}[/tex]
