What is the answer to 2|x+5|-2=12 ?

The answer to 2|x+5|-2=12 is x=-12\lor x=2

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2|x+5|-2=12

2 ∣ x + 5 ∣ - 2 = 12

x = - 12 or x = 2

Solution steps

2 ∣ x + 5 ∣ - 2 = 12

Move

2

to the right side

2 ∣ x + 5 ∣ = 14

Divide both sides by

2

∣ x + 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - 7 or x + 5 = 7

x + 5 = - 7 or x + 5 = 7

x = - 12 or x = 2

2 ∣ x + 5 ∣ - 2 = 10

∣ 3 x + 5 ∣ = x + 2

2 ∣ x ∣ + 7 = 10

x^{l o g_{10} (x)} = 100 x

ln (x) - ln (x + 2) = 1