Respuesta :

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]

Answer:

x=-3

Step-by-step explanation:

−2x - 15 = 6x + 9

ok, so let's make a separation

terms with x in the left, and terms without in the right

-2x-6x=9+15

when a term gets a new side, he gets a different sign

6x was in the right side, and because he had to change it, now he is -6x

-8x=24  / : 8

let's divide everything with 8

-x=3

and because we are looking for x, not -x

the answer is x=-3