What is the answer to |2+2x|+1=3 ?

The answer to |2+2x|+1=3 is x=-2\lor x=0

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|2+2x|+1=3

∣ 2 + 2 x ∣ + 1 = 3

x = - 2 or x = 0

Solution steps

∣ 2 + 2 x ∣ + 1 = 3

Move

1

to the right side

∣ 2 + 2 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 + 2 x = - 2 or 2 + 2 x = 2

2 + 2 x = - 2 or 2 + 2 x = 2

x = - 2 or x = 0

14 ∣ 3 - 8 x ∣ + 14 = 52

∣ - 6 k ∣ = 30

∣ 3 - x ∣ = 6

12 = \frac{b}{6}

3 ∣ 5 - w ∣ - 8 = 4