What is the answer to |x+1|=6 ?

The answer to |x+1|=6 is x=-7\lor x=5

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|x+1|=6

∣ x + 1 ∣ = 6

x = - 7 or x = 5

Solution steps

∣ x + 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 6 or x + 1 = 6

x + 1 = - 6 or x + 1 = 6

x = - 7 or x = 5

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