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

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

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|2x+2|+1=3

∣ 2 x + 2 ∣ + 1 = 3

x = - 2 or x = 0

Solution steps

∣ 2 x + 2 ∣ + 1 = 3

Move

1

to the right side

∣ 2 x + 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 2 or x = 0

\frac{1}{2} x + 1 = 5

∣ x - 9 ∣ = 0

3 - ∣ x + 2 ∣ = - 5

5 - 2 x + 11 = 21 - ∣ 7 - 3 x ∣

∣ 5 x - 8 ∣ + 3 = 4