What is the answer to 2|x+5|-3=39 ?

The answer to 2|x+5|-3=39 is x=-26\lor x=16

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2|x+5|-3=39

2 ∣ x + 5 ∣ - 3 = 39

x = - 26 or x = 16

Solution steps

2 ∣ x + 5 ∣ - 3 = 39

Move

3

to the right side

2 ∣ x + 5 ∣ = 42

Divide both sides by

2

∣ x + 5 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - 21 or x + 5 = 21

x + 5 = - 21 or x + 5 = 21

x = - 26 or x = 16

∣ 7 x + 3 ∣ = 18

y, 5 y - 5 = 2 ∣ x ∣

∣ 2 x + 1 ∣ + ∣ 2 x - 1 ∣ = 3

13 = ∣ 2 b + 12 ∣

∣ 2 k + 5 ∣ = 2 k^{2} + 2^{2}