Respuesta :

Answer:

no solution

Step-by-step explanation:

[tex]-2 ( x + 3) = -2 (x + 1) -4 \\-2x + 3 = -2x -2 -4\\-2x + 3 = -2x - 6[/tex]

add [tex]2x[/tex] to both sides

[tex]-2x + 3 + 2x = -2x - 6 + 2x \\3 = -6[/tex]

That's impossible

so the equation no solution

Answer:

All real numbers ( -∞ ,∞)

Step-by-step explanation:

          Simplify [tex]-2(x+3)[/tex]

          Apply the distributive property.

[tex]-2x-6=-2(x+1)-4[/tex]

          Simplify  

[tex]-2(x+1)-4[/tex]

[tex]-2x-6=-2x -6[/tex]

          Move all terms containing  x  to the left side of the equation.

          Add  2  x  to both sides of the equation.

[tex]-2x-6+2x=0[/tex]

          Combine the opposite terms in  

[tex]-2x-6+2x[/tex]

          add [tex]-2x[/tex] and [tex]2x[/tex]

[tex]0-6= -6[/tex]

[tex]-6= -6[/tex]

Since [tex]-6= -6[/tex] , the equation will always be true for any value of  x .  All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

( − ∞ , ∞ )