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:
( − ∞ , ∞ )