Answer:
[tex]\large\boxed{x=-\dfrac{36}{7}\to x=-5\dfrac{1}{7}}[/tex]
Step-by-step explanation:
[tex]3(-8+2x)-5x=8x+12\qquad\text{use the distributive property}\\\\(3)(-8)+(3)(2x)-5x=8x+12\\\\-24+6x-5x=8x+12\qquad\text{combine like terms}\\\\-24+(6x-5x)=8x+12\\\\-24+x=8x+12\qquad\text{add 24 to both sides}\\\\-24+24+x=8x+12+24\\\\x=8x+36\qquad\text{subtract}\ 8x\ \text{from both sides}\\\\x-8x=8x-8x+36\\\\-7x=36\qquad\text{divide both sides by (-7)}\\\\\dfrac{-7x}{-7}=\dfrac{36}{-7}\\\\x=-\dfrac{36}{7}[/tex]
