What is the answer to 2+|3x-2|=18 ?

The answer to 2+|3x-2|=18 is x=-14/3 \lor x=6

Solve for x: 2+|3x-2|=18

The solution is x=-14/3 \lor x=6

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2 + ∣ 3 x - 2 ∣ = 18

x = - \frac{14}{3} or x = 6

Decimal

x = - 4.66666 \dots, x = 6

Solution steps

2 + ∣ 3 x - 2 ∣ = 18

Move

2

to the right side

∣ 3 x - 2 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 16 or 3 x - 2 = 16

3 x - 2 = - 16 or 3 x - 2 = 16

x = - \frac{14}{3} or x = 6

\frac{1}{3} ∣ 3 x + 8 ∣ + 4 = 8

∣ x + 3 ∣ + 2 ∣ x ∣ = 4

∣ x - 2 ∣ = ∣ - 6 ∣

\frac{k}{6} = 4

- 5 ∣ 6 x - 8 ∣ = - 10

What is the answer to 2+|3x-2|=18 ?
The answer to 2+|3x-2|=18 is x=-14/3 \lor x=6
Solve for x: 2+|3x-2|=18
The solution is x=-14/3 \lor x=6