What is the answer to |14-3b|=5 ?

The answer to |14-3b|=5 is b=3\lor b= 19/3

Solve for b: |14-3b|=5

The solution is b=3\lor b= 19/3

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∣ 14 - 3 b ∣ = 5

b = 3 or b = \frac{19}{3}

Decimal Notation

b = 3, b = 6.33333 \dots

Solution steps

∣ 14 - 3 b ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

14 - 3 b = - 5 or 14 - 3 b = 5

14 - 3 b = - 5 or 14 - 3 b = 5

b = 3 or b = \frac{19}{3}

∣ 15 - 3 b ∣ = 21

∣ y - 3 ∣ = 7

∣ 5 x - 9 ∣ = - 1

∣ x + 11 ∣ = 46

3 ∣ 2 d - 6 ∣ + 2 = 2