How would you solve this expression algebracially?

Question

2|x+1|-3=3

Answer 1

Two ways: 1) Solve for |x+1| and get |x+1| = 6/2 = 3, now let x+1 = +/- 3 and solve for x.

Solve for x > -1 which makes expression x+1 positive and solve for x in 2(x+1) -3 = 3

Solve for x<-1 and then change x+1 to -1-x to make it positive: solve for x in 2(-1-x) -3 = 3

The solution for x must agree with the restriction you put on initially.

Good luck!

Answer 2

Given 2|x + 1| - 3 = 3 we should rearrange

=> 2|x + 1| = 6

=> |x + 1| = 3

=> (x + 1) = 3 or (x + 1) = -3

=> x = 2 or x = -4