Answer: [tex]x=-3[/tex]Step-by-step explanation: Given the following equation: [tex]-2x - 15 = 6x + 9[/tex] You need to follow these steps: - Add [tex]2x[/tex] to both sides of the equation: [tex]-2x - 15+2x= 6x + 9+2x[/tex] [tex]- 15 = 8x +9[/tex] - Subtract 9 from both sides of the equation: [tex]- 15-9 = 8x +9-9[/tex] [tex]-24 = 8x[/tex] - Divide both sides of the equation by 8. Then: [tex]\frac{-24}{8}=\frac{8x}{8}\\\\x=-3[/tex]