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

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

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

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

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∣ - 4 b - 5 ∣ = 19

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

Decimal Notation

b = - 6, b = 3.5

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

a ∣ b x + 5 ∣ - c = d

∣ x + 4 ∣ = 3 x - 12

∣ 2 - 3 x ∣ = 2 + 3 x

18 = ∣ - 9 y ∣

4 ∣ 6 y - 1 ∣ - 6 = 6