What is the answer to 3|2x+4|=18 ?

The answer to 3|2x+4|=18 is x=-5\lor x=1

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3|2x+4|=18

3 ∣ 2 x + 4 ∣ = 18

x = - 5 or x = 1

Solution steps

3 ∣ 2 x + 4 ∣ = 18

Divide both sides by

3

∣ 2 x + 4 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 4 = - 6 or 2 x + 4 = 6

2 x + 4 = - 6 or 2 x + 4 = 6

x = - 5 or x = 1

3 ∣ x - 2 ∣ + 7 = 0

- 7 = ∣ 7 z ∣

x^{2} - 2 x + 2 + ∣ x - 2 ∣ = 2 ∣ x - 1 ∣

∣ 3 x - 2 ∣ = 14

∣ 5 y - 6 ∣ = ∣ 6 - 5 y ∣