What is the answer to 3| x/3-4|=12 ?

The answer to 3| x/3-4|=12 is x=0\lor x=24

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3| x/3-4|=12

3 \frac{x}{3} - 4 = 12

x = 0 or x = 24

Solution steps

3 \frac{x}{3} - 4 = 12

Divide both sides by

3

\frac{x}{3} - 4 = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{3} - 4 = - 4 or \frac{x}{3} - 4 = 4

\frac{x}{3} - 4 = - 4 or \frac{x}{3} - 4 = 4

x = 0 or x = 24

∣ 3 x - 6 ∣ - 7 = 14

9 ∣ r ∣ = 45

10 - 10 ∣ - 8 x + 4 ∣ = 10

∣ x - 10 ∣ = 11

∣ 4 n + 5 ∣ - 6 = - 1