4.6k views
4 votes
What is the solution to -(2x + 4) + x = 3x − 4x − 4?

User Ihuk
by
4.4k points

1 Answer

5 votes

Answer:

all real numbers

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

User Jon Robinson
by
4.2k points