What is the answer to 4|3b-1|=28 ?

The answer to 4|3b-1|=28 is b=-2\lor b= 8/3

Solve for b: 4|3b-1|=28

The solution is b=-2\lor b= 8/3

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4 ∣ 3 b - 1 ∣ = 28

b = - 2 or b = \frac{8}{3}

Decimal Notation

b = - 2, b = 2.66666 \dots

Solution steps

4 ∣ 3 b - 1 ∣ = 28

Divide both sides by

4

∣ 3 b - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 b - 1 = - 7 or 3 b - 1 = 7

3 b - 1 = - 7 or 3 b - 1 = 7

b = - 2 or b = \frac{8}{3}

- 4 ∣ x - 1 ∣ + 3 = - 1

5 ∣ x - 4 ∣ + 8 = 53

- 3 x - 2 = ∣ 6 x + 25 ∣

∣ 2 x + 3 ∣ + 2 = 17

\frac{4 - x}{2} - 3 = 0