What is the answer to |3b-1|=5 ?

The answer to |3b-1|=5 is b=-4/3 \lor b=2

Solve for b: |3b-1|=5

The solution is b=-4/3 \lor b=2

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∣ 3 b - 1 ∣ = 5

b = - \frac{4}{3} or b = 2

Solution steps

∣ 3 b - 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 b - 1 = - 5 or 3 b - 1 = 5

3 b - 1 = - 5 or 3 b - 1 = 5

b = - \frac{4}{3} or b = 2

\frac{3}{2} = ∣ x + 2 ∣

∣ 10 x - 9 ∣ = 21

4 ∣ 7 w + 14 ∣ = 28

∣ x + 3 ∣ + 12 = 5

∣ x + 6 ∣ = 2 x + 6