Respuesta :

Answer:

All real numbers

Step-by-step explanation:

Solution set of -2(x +3) = -2x -6 is all x ∈R (real numbers).

What is equation?

" Equation is defined as when two algebraic expression which are related with the sign of equality."

According to the question,

Given,

-2(x + 3) = -2x - 6

Open the brackets of the equation we get,

-2(x) + (-2)(3) = -2x - 6

⇒ -2x - 6 = -2x - 6

Add 6 on both the sides of the equation we get,

-2x = -2x

Divide by -2 of the equation both sides

x = x                                 _____(1)

Add (-x) both the sides we get,

0 = 0                                 _____(2)

From (1) and (2) we conclude ,

Solution is true for all  the real values of x.

Hence, solution set of -2(x +3) = -2x -6 is all x ∈R (real numbers).

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