Solve this equality 2|x+5|-4=6 one to equal 6 and the other to - 6

Step-by-step explanation:

Step 1: add 4 to both sides, obtaining 2|x+5| = 10

Step 2: Divide both sides by 2 to isolate |x + 5|: |x + 5| = 5

Step 3: Rewrite this result as two separate equations:

x + 5 = 5, so x = 0, and

- (x + 5) = 5, which simplifies to - x - 5 = 5, or - x = 10, or x = - 10

The solution set is {0, - 10}