What is the answer to |x+2|+4=11 ?

The answer to |x+2|+4=11 is x=-9\lor x=5

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|x+2|+4=11

∣ x + 2 ∣ + 4 = 11

x = - 9 or x = 5

Solution steps

∣ x + 2 ∣ + 4 = 11

Move

4

to the right side

∣ x + 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 7 or x + 2 = 7

x + 2 = - 7 or x + 2 = 7

x = - 9 or x = 5

x^{2} - x - 2 + ∣ x + 6 ∣ = x^{2} - 2 x - 8

∣ x - 1 ∣ + ∣ x - 2 ∣ = 1

∣ 2 x + 1 ∣ = ∣ 4 x - 3 ∣

∣ 3 x - 4 ∣ = 0

∣ x - 1 ∣ + ∣ 2 x + 11 ∣ = 6