Question

Solve the equation. Check your solutions. |4b+4|=|2b+8|

Answer 1

Answer:

b = 2 or b = -2

Explanation:

|4b + 4| = |2b + 8|

Solve absolute value

|4b + 4| = |2b + 8|

Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)

4b + 4 = 2b + 8 (Possibility 1)

4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)

2b + 4 = 8

2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)

2b = 4

2b / 2 = 4 / 2 (Divide both sides by 2)

b = 2

4b + 4 = −(2b + 8) (Possibility 2)

4b + 4 = −2b − 8 (Simplify both sides of the equation)

4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)

6b + 4 = −8

6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)

6b = −12

6b / 6 = -12 / 6 (Divide both sides by 6)

b = -2

b = 2 or b = -2