What is the answer to 3|3x-5|=21 ?

The answer to 3|3x-5|=21 is x=-2/3 \lor x=4

Solve for x: 3|3x-5|=21

The solution is x=-2/3 \lor x=4

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3 ∣ 3 x - 5 ∣ = 21

x = - \frac{2}{3} or x = 4

Decimal Notation

x = - 0.66666 \dots, x = 4

Solution steps

3 ∣ 3 x - 5 ∣ = 21

Divide both sides by

3

∣ 3 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 7 or 3 x - 5 = 7

3 x - 5 = - 7 or 3 x - 5 = 7

x = - \frac{2}{3} or x = 4

∣ - 9 v + 6 ∣ = - 75

∣ 3 x - 1 ∣ = 11

∣ 3 x - 1 ∣ = 16

- 7 ∣ - 3 - 3 r ∣ = - 21

x^{2} - 5 = 1