Question

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

a
2.
CA
3
ос
All real numbers
Od
No solution

Answer 1

All real numbers ( -∞ ,∞)

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

no solution

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