What is the answer to 8|x-2|+5=21 ?

The answer to 8|x-2|+5=21 is x=0\lor x=4

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8|x-2|+5=21

8 ∣ x - 2 ∣ + 5 = 21

x = 0 or x = 4

Solution steps

8 ∣ x - 2 ∣ + 5 = 21

Move

5

to the right side

8 ∣ x - 2 ∣ = 16

Divide both sides by

8

∣ x - 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 2 or x - 2 = 2

x - 2 = - 2 or x - 2 = 2

x = 0 or x = 4

6 ∣ 5 p + 4 ∣ - 16 = 20

4 - ∣ 5 x - 9 ∣ = - 40

2 ∣ 2 x + 3 ∣ - 10 = 0

∣ 3 x - 6 ∣ = 1

\frac{1}{4} x - 3 = 10