What is the answer to 2|3x-2|+6=8 ?

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

Solve for x: 2|3x-2|+6=8

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

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2 ∣ 3 x - 2 ∣ + 6 = 8

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

Decimal Notation

x = 0.33333 \dots, x = 1

Solution steps

2 ∣ 3 x - 2 ∣ + 6 = 8

Move

6

to the right side

2 ∣ 3 x - 2 ∣ = 2

Divide both sides by

2

∣ 3 x - 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ 4 x - 7 ∣ = x + 5

1 = a ∣ x - 3 ∣ + 9

\frac{3}{4} ∣ 4 x ∣ = 12

x = ∣ x + 5 ∣

∣ t - 2 ∣ = 17

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