What is the answer to 2|x+1|+3=7 ?

The answer to 2|x+1|+3=7 is x=-3\lor x=1

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2|x+1|+3=7

2 ∣ x + 1 ∣ + 3 = 7

x = - 3 or x = 1

Solution steps

2 ∣ x + 1 ∣ + 3 = 7

Move

3

to the right side

2 ∣ x + 1 ∣ = 4

Divide both sides by

2

∣ x + 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 2 or x + 1 = 2

x + 1 = - 2 or x + 1 = 2

x = - 3 or x = 1

0 = ∣ k + 6 ∣

∣ b + 5 ∣ - 5 = 6

- 78 = 6 ∣ h ∣

2 ∣ 5 x + 1 ∣ - 9 = 4 x + 17

∣ 5 x - 2 ∣ = x + 6