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

The answer to 6-|3x|=2 is x=-4/3 \lor x= 4/3

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

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

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6 - ∣ 3 x ∣ = 2

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

Decimal Notation

x = - 1.33333 \dots, x = 1.33333 \dots

Solution steps

6 - ∣ 3 x ∣ = 2

Move

6

to the right side

- ∣ 3 x ∣ = - 4

Divide both sides by

- 1

∣ 3 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - 4 or 3 x = 4

3 x = - 4 or 3 x = 4

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

\frac{x}{5} = 22

∣ 2 x + 3 ∣ + 9 = 7

b ∣ - 4 b + 8 ∣ = 48

∣ 2 x + 1 ∣ = 4 x - 2

3 ∣ x ∣ - 1 = 8