Question

Solve for x: -2(x + 3) = -2(x + 1) - 4. (1 point)

Answer 1

Answer:

All real numbers ( -∞ ,∞)

Step-by-step explanation:

          Simplify $-2(x+3)$

          Apply the distributive property.

$-2x-6=-2(x+1)-4$

          Simplify  

$-2(x+1)-4$

$-2x-6=-2x -6$

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

          Add  2  x  to both sides of the equation.

$-2x-6+2x=0$

          Combine the opposite terms in  

$-2x-6+2x$

          add $-2x$ and $2x$

$0-6= -6$

$-6= -6$

Since $-6= -6$ , 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:

( − ∞ , ∞ )

Answer 2

Answer:

no solution

Step-by-step explanation:

$-2 ( x + 3) = -2 (x + 1) -4 \\-2x + 3 = -2x -2 -4\\-2x + 3 = -2x - 6$

add $2x$ to both sides

$-2x + 3 + 2x = -2x - 6 + 2x \\3 = -6$

That's impossible

so the equation no solution