What is the answer to |3x-2|+2=8 ?

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

Solve for x: |3x-2|+2=8

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

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∣ 3 x - 2 ∣ + 2 = 8

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

Decimal Notation

x = - 1.33333 \dots, x = 2.66666 \dots

Solution steps

∣ 3 x - 2 ∣ + 2 = 8

Move

2

to the right side

∣ 3 x - 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

5 ∣ 4 v ∣ = 100

∣ - 11 x ∣ = 132

∣ 1 - x ∣ = 2 x - 5

∣ x - 7 ∣ - 2 x = 4

∣ z - 3 ∣ = 3

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