What is the answer to 3|x+2|+6=30 ?

The answer to 3|x+2|+6=30 is x=-10\lor x=6

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3|x+2|+6=30

3 ∣ x + 2 ∣ + 6 = 30

x = - 10 or x = 6

Solution steps

3 ∣ x + 2 ∣ + 6 = 30

Move

6

to the right side

3 ∣ x + 2 ∣ = 24

Divide both sides by

3

∣ x + 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 8 or x + 2 = 8

x + 2 = - 8 or x + 2 = 8

x = - 10 or x = 6

∣ 5 - x ∣ = ∣ x + 4 ∣

\frac{n}{4} = 1

4 ∣ 4 - x ∣ = 16

∣ 2 x - 5 ∣ = 3 x + 1

- 4 = - ∣ x - 2 ∣ + 1