What is the answer to 5|5-5r|-6=19 ?

The answer to 5|5-5r|-6=19 is r=0\lor r=2

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5|5-5r|-6=19

5 ∣ 5 - 5 r ∣ - 6 = 19

r = 0 or r = 2

Solution steps

5 ∣ 5 - 5 r ∣ - 6 = 19

Move

6

to the right side

5 ∣ 5 - 5 r ∣ = 25

Divide both sides by

5

∣ 5 - 5 r ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 5 r = - 5 or 5 - 5 r = 5

5 - 5 r = - 5 or 5 - 5 r = 5

r = 0 or r = 2

∣ 3 + 2 x ∣ = 3 - x

∣ 5 + 8 a ∣ = 53

∣ 2 x - 1 ∣ = 3 x - 4

- 2 ∣ x - 4 ∣ + 7 = - 3

x^{2} - 3 x - 2 = ∣ x - 1 ∣