What is the answer to 3=|15+3b| ?

The answer to 3=|15+3b| is b=-6\lor b=-4

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3=|15+3b|

3 = ∣ 15 + 3 b ∣

b = - 6 or b = - 4

Solution steps

3 = ∣ 15 + 3 b ∣

Switch sides

∣ 15 + 3 b ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

15 + 3 b = - 3 or 15 + 3 b = 3

15 + 3 b = - 3 or 15 + 3 b = 3

b = - 6 or b = - 4

∣ 2 t - 3 ∣ = 3 t - 2

9 + 2 ∣ 4 x - 5 ∣ = 13

13 = ∣ - 2 x + 5 ∣

9 - 2 ∣ 2 x + 1 ∣ = 5

x^{2} + x - 6 = x + 1