What is the answer to 2|3x-6|-2=15 ?

The answer to 2|3x-6|-2=15 is x=-5/6 \lor x= 29/6

Solve for x: 2|3x-6|-2=15

The solution is x=-5/6 \lor x= 29/6

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2 ∣ 3 x - 6 ∣ - 2 = 15

x = - \frac{5}{6} or x = \frac{29}{6}

Decimal Notation

x = - 0.83333 \dots, x = 4.83333 \dots

Solution steps

2 ∣ 3 x - 6 ∣ - 2 = 15

Move

2

to the right side

2 ∣ 3 x - 6 ∣ = 17

Divide both sides by

2

∣ 3 x - 6 ∣ = \frac{17}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 6 = - \frac{17}{2} or 3 x - 6 = \frac{17}{2}

3 x - 6 = - \frac{17}{2} or 3 x - 6 = \frac{17}{2}

x = - \frac{5}{6} or x = \frac{29}{6}

∣ - 2 x - 1 ∣ - 3 = 3 x + 16

∣ x - 2 ∣ = 10 - 3 x

∣ x - 2 ∣ - 8 = - 7

∣ 4 x + 2 ∣ - 6 = 24

2 ∣ 2 x + 7 ∣ = 2 x - 8

What is the answer to 2|3x-6|-2=15 ?
The answer to 2|3x-6|-2=15 is x=-5/6 \lor x= 29/6
Solve for x: 2|3x-6|-2=15
The solution is x=-5/6 \lor x= 29/6