What is the answer to |4x+4|-2=2 ?

The answer to |4x+4|-2=2 is x=-2\lor x=0

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|4x+4|-2=2

∣ 4 x + 4 ∣ - 2 = 2

x = - 2 or x = 0

Solution steps

∣ 4 x + 4 ∣ - 2 = 2

Move

2

to the right side

∣ 4 x + 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 4 = - 4 or 4 x + 4 = 4

4 x + 4 = - 4 or 4 x + 4 = 4

x = - 2 or x = 0

2 - ∣ 6 x ∣ = 1

2 = 8 + ∣ 10 x - 5 ∣

- 8 ∣ v + 6 ∣ = - 72

∣ 2 x + 4 ∣ + 7 = 6

∣ y ∣ = \frac{1}{x}