What is the answer to 3|3x-5|=12 ?

The answer to 3|3x-5|=12 is x= 1/3 \lor x=3

Solve for x: 3|3x-5|=12

The solution is x= 1/3 \lor x=3

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3 ∣ 3 x - 5 ∣ = 12

x = \frac{1}{3} or x = 3

Decimal

x = 0.33333 \dots, x = 3

Solution steps

3 ∣ 3 x - 5 ∣ = 12

Divide both sides by

3

∣ 3 x - 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 4 or 3 x - 5 = 4

3 x - 5 = - 4 or 3 x - 5 = 4

x = \frac{1}{3} or x = 3

- 3 = - 2 ∣ x + 1 ∣ - 1

2 x - 3 = 7

∣ x + 9 ∣ - 7 = 10

∣ x - 2 ∣ = x^{2} + 2 x + 4

\frac{3}{2} ∣ x ∣ = 15 x