Verified answer

|2(x + 1)| = 8

2x + 2 = 8

2x = 6

x = 3

2x + 2 = - 8

2x = - 10

x = - 5

Answer: x = 3, - 5

Easiest way to solve for an absolute value problem is to solve twice. Once for the positive value, once for the negative.

2(x+1) = 8

2x + 2 = 8

2x = 6

x = 3

2(x+1) = -8

2x + 2 = -8

2x = -10

x = -5

So x = 3 and x = -5

Also, connoisseur typically applies to fine arts, not math and sciences :P

If the absolute value of a certain quantity equals 8, then the quantity is EITHER 8 or -8.

So, set up each equation:

2(x + 1) = 8

x + 1 = 4

x = 3

OR:

2(x + 1) = -8

x + 1 = -4

x = -5

Your two answers are x = 3, -5

first of all, expand the bracket.

|2x+2|=8

destroy the modulus by equal the number to two possibility, that is positive and negative.

2x+2=8

&

2x+2=-8

so find the values for both equation

2x+2=8

2x=6

x=3

&

2x+2=-8

2x=-10

x=-5

the answers are x=-5 and x=3

hope that helps

absolute value is how far a number is from zero

| 2x + 2 | = 8

------------------

2

| x + 1 | = 4

subtract x from both sides

| 1 | = 4 - x

1 = 4 - x

subtract four from each side

-3 = -x

x = 3