Question

What is the solution to -(2x + 4) + x = 3x − 4x − 4?

Answer 1

Answer:

x=-2

Step-by-step explanation:

Answer 2

Answer:

all real numbers

Step-by-step explanation:

-(2x + 4) + x = 3x − 4x − 4

Distribute the negative sign on the left side. It is the same as having a -1 to the left of the parentheses.

-1(2x + 4) + x = 3x − 4x − 4

-2x - 4 + x = 3x - 4x - 4

Combine like terms on the left side. Combine like terms on the right side.

-x - 4 = -x - 4

Add 4 to both sides.

-x = -x

Add x to both sides.

0 = 0

You end up with a true equation. Therefore, there is an infinite number of solutions. Every real number is a solution.

Answer: all real numbers