What is the answer to |4b-5|=19 ?

The answer to |4b-5|=19 is b=-7/2 \lor b=6

Solve for b: |4b-5|=19

The solution is b=-7/2 \lor b=6

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∣ 4 b - 5 ∣ = 19

b = - \frac{7}{2} or b = 6

Decimal Notation

b = - 3.5, b = 6

Solution steps

∣ 4 b - 5 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 b - 5 = - 19 or 4 b - 5 = 19

4 b - 5 = - 19 or 4 b - 5 = 19

b = - \frac{7}{2} or b = 6

∣ 4 x - 1 ∣ = 2 x + 13

∣ 2 x - 3 ∣ = x - 1

∣ m + 3 ∣ = 7

∣ 0.3 - 2.5 x ∣ = 8

5 n - 3 = ∣ n + 9 ∣