Question

|2x + 3| - 6 = 11 show all work

Answer 1

Answer:

x =7           and     x=-10

Step-by-step explanation:

|2x + 3| - 6 = 11

add 6 to each side

|2x + 3| - 6+6 = 11 +6

|2x + 3| = 17

now we split into 2 equations a positive and a negative

2x+3 = 17   and 2x+3 = -17

subtract 3 from each side

2x+3-3 = 17-3   2x+3-3 = -17-3

2x = 14            2x = -20

divide by 2

2x/2 = 14/2      2x/2 = -20/2

x =7           and     x=-10

Answer 2

Answer: x=7

Step-by-step explanation:

Step 1: Add 6 to both sides of the equation.

|2x+3|−6+6=11+6

|2x+3|=17

Step 2: Solve the absolute value.

|2x+3|=17

We know that there are two possibility's 2x+3=17 or 2x+3=−17 ...

2x+3=17

2x+3−3=17−3 (Then subtract 3 from both sides of the equation)

2x=14

2x /2 = 14 /2

Step 3. Divide both sides by 2.

Answer: x=7

Hope I could help! :)