What is the answer to 2|5r-8|+3=3 ?

The answer to 2|5r-8|+3=3 is r= 8/5

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2|5r-8|+3=3

2 ∣ 5 r - 8 ∣ + 3 = 3

r = \frac{8}{5}

Solution steps

2 ∣ 5 r - 8 ∣ + 3 = 3

Subtract

3

from both sides

2 ∣ 5 r - 8 ∣ + 3 - 3 = 3 - 3

Simplify

2 ∣ 5 r - 8 ∣ = 0

Divide both sides by

2

∣ 5 r - 8 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

5 r - 8 = 0

5 r - 8 = 0 : r = \frac{8}{5}

r = \frac{8}{5}

∣ x ∣ + 2 = 9

∣ y - 5 ∣ + 14 = 27

∣ 2 x - 9 ∣ = 3 x + 1

b (x) = - ∣ x - 3 ∣ + 2

- 2 ∣ z ∣ = 6