What is the answer to 3|x-4|=15 ?

The answer to 3|x-4|=15 is x=-1\lor x=9

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3|x-4|=15

3 ∣ x - 4 ∣ = 15

x = - 1 or x = 9

Solution steps

3 ∣ x - 4 ∣ = 15

Divide both sides by

3

∣ x - 4 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 5 or x - 4 = 5

x - 4 = - 5 or x - 4 = 5

x = - 1 or x = 9

\frac{2 x + 3}{5} = 5

\frac{4 x - 8}{6} = 4

∣ x - 2 ∣ - 4 = 0

4 ∣ a - 6 ∣ = 16

∣ x + 2 ∣ + 7 = 0