What is the answer to |4x+16|=12 ?

The answer to |4x+16|=12 is x=-7\lor x=-1

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|4x+16|=12

∣ 4 x + 16 ∣ = 12

x = - 7 or x = - 1

Solution steps

∣ 4 x + 16 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 16 = - 12 or 4 x + 16 = 12

4 x + 16 = - 12 or 4 x + 16 = 12

x = - 7 or x = - 1

∣ 5 x + 20 ∣ = 5

2 ∣ x + 7 ∣ - 3 = - 1

∣ x + 2 ∣ = 3 - x

∣ x - 8 ∣ = x^{2} - 8 x

∣ 3 x - 9 ∣ = ∣ x - 7 ∣