What is the answer to 2|x+2|=10 ?

The answer to 2|x+2|=10 is x=-7\lor x=3

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2|x+2|=10

2 ∣ x + 2 ∣ = 10

x = - 7 or x = 3

Solution steps

2 ∣ x + 2 ∣ = 10

Divide both sides by

2

∣ x + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 5 or x + 2 = 5

x + 2 = - 5 or x + 2 = 5

x = - 7 or x = 3

2 x^{2} + ∣ 6 x - 12 ∣ = 252 + 8 x

∣ x + 5 ∣ - 8 = 8

7.5 \times (- ∣ 2 x ∣ - 5) = - 112.5

∣ 10 x + 5 ∣ = ∣ 5 x + 10 ∣

y, x^{2} + (y - ∣ x ∣)^{2} = 1