What is the answer to -3|3x-8|+20=2 ?

The answer to -3|3x-8|+20=2 is x= 2/3 \lor x= 14/3

Solve for x: -3|3x-8|+20=2

The solution is x= 2/3 \lor x= 14/3

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- 3 ∣ 3 x - 8 ∣ + 20 = 2

x = \frac{2}{3} or x = \frac{14}{3}

Solution steps

- 3 ∣ 3 x - 8 ∣ + 20 = 2

Move

20

to the right side

- 3 ∣ 3 x - 8 ∣ = - 18

Divide both sides by

- 3

∣ 3 x - 8 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 8 = - 6 or 3 x - 8 = 6

3 x - 8 = - 6 or 3 x - 8 = 6

x = \frac{2}{3} or x = \frac{14}{3}

∣ 9 x - 17 ∣ = 1

3 - x^{2} = ∣ 2 x ∣

∣ 5 x - 6 ∣ + 3 = 10

- 4 ∣ x + 9 ∣ = - 24

- 5 + 2 ∣ 2 x - 4 ∣ = 13

What is the answer to -3|3x-8|+20=2 ?
The answer to -3|3x-8|+20=2 is x= 2/3 \lor x= 14/3
Solve for x: -3|3x-8|+20=2
The solution is x= 2/3 \lor x= 14/3