What is the answer to -2|3x-1|+6=2 ?

The answer to -2|3x-1|+6=2 is x=-1/3 \lor x=1

Solve for x: -2|3x-1|+6=2

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

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- 2 ∣ 3 x - 1 ∣ + 6 = 2

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

Decimal Notation

x = - 0.33333 \dots, x = 1

Solution steps

- 2 ∣ 3 x - 1 ∣ + 6 = 2

Move

6

to the right side

- 2 ∣ 3 x - 1 ∣ = - 4

Divide both sides by

- 2

∣ 3 x - 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 2 or 3 x - 1 = 2

3 x - 1 = - 2 or 3 x - 1 = 2

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

∣ 3 x - 6 ∣ = 21

4 - 3 ∣ 5 b - 8 ∣ = 43

∣ 3 x + 2 ∣ + 4 x = 6

∣ 9 x + 6 ∣ = 3

\frac{x}{5} = 2

What is the answer to -2|3x-1|+6=2 ?
The answer to -2|3x-1|+6=2 is x=-1/3 \lor x=1
Solve for x: -2|3x-1|+6=2
The solution is x=-1/3 \lor x=1