What is the answer to 3=-2|14s-5|+3 ?

The answer to 3=-2|14s-5|+3 is s= 5/14

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3=-2|14s-5|+3

3 = - 2 ∣ 14 s - 5 ∣ + 3

s = \frac{5}{14}

Decimal Notation

s = 0.35714 \dots

Solution steps

3 = - 2 ∣ 14 s - 5 ∣ + 3

Subtract

3

from both sides

3 - 3 = - 2 ∣ 14 s - 5 ∣ + 3 - 3

Simplify

0 = - 2 ∣ 14 s - 5 ∣

Switch sides

- 2 ∣ 14 s - 5 ∣ = 0

Divide both sides by

- 2

∣ 14 s - 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

14 s - 5 = 0

14 s - 5 = 0 : s = \frac{5}{14}

s = \frac{5}{14}

∣ 3 x + 8 ∣ = 1

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4 ∣ 10 - 3 x ∣ + 3 = 51

∣ 2 b + 2 ∣ = 6