What is the answer to 2|3x-6|+1=5 ?

The answer to 2|3x-6|+1=5 is x= 4/3 \lor x= 8/3

Solve for x: 2|3x-6|+1=5

The solution is x= 4/3 \lor x= 8/3

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2 ∣ 3 x - 6 ∣ + 1 = 5

x = \frac{4}{3} or x = \frac{8}{3}

Decimal Notation

x = 1.33333 \dots, x = 2.66666 \dots

Solution steps

2 ∣ 3 x - 6 ∣ + 1 = 5

Move

1

to the right side

2 ∣ 3 x - 6 ∣ = 4

Divide both sides by

2

∣ 3 x - 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 6 = - 2 or 3 x - 6 = 2

3 x - 6 = - 2 or 3 x - 6 = 2

x = \frac{4}{3} or x = \frac{8}{3}

∣ 3 x + 4 ∣ + 8 = 5

∣ - 5 x + 10 ∣ = 0

3 ∣ x - 7 ∣ + 6 = 27

4 ∣ 3 x - 6 ∣ = 36

2 = ∣ c - 2 ∣

What is the answer to 2|3x-6|+1=5 ?
The answer to 2|3x-6|+1=5 is x= 4/3 \lor x= 8/3
Solve for x: 2|3x-6|+1=5
The solution is x= 4/3 \lor x= 8/3