What is the answer to 3|x-8|+4=25 ?

The answer to 3|x-8|+4=25 is x=1\lor x=15

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3|x-8|+4=25

3 ∣ x - 8 ∣ + 4 = 25

x = 1 or x = 15

Solution steps

3 ∣ x - 8 ∣ + 4 = 25

Move

4

to the right side

3 ∣ x - 8 ∣ = 21

Divide both sides by

3

∣ x - 8 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 8 = - 7 or x - 8 = 7

x - 8 = - 7 or x - 8 = 7

x = 1 or x = 15

6 + ∣ 4 x + 2 ∣ = 20

∣ 3 x + 4 ∣ + 7 = 6

- ∣ 2 x - 5 ∣ = - 9

∣ x ∣^{2} = x^{2}

2 ∣ - 3 x - 12 ∣ - 10 = 8