Question

Solve for x: −2(x + 3) = −2x − 6

0
3
All real numbers
No solution

Answer 1

Answer: All real solutions

Explanation:

The given equation:
`-2(x + 3) = -2x - 6`

Fist we open bracket on the right hand side , we get

`-2(x) + -2(3) = -2x - 6\\\\\Rightarrow\ -2x-6=-2x-6`

Adding 2x and 6 and on both sides , we get

`0=0`

Thus, the equation is true for all values of x.

Hence, solution for x= All real solutions

Answer 2

x ∈ All real numbers

Explanation:

When the distributive property is applied to the left side, the parentheses can be eliminated and the equation becomes ...

-2x -6 = -2x -6

This is true for all possible values of x, "all real numbers".