What is the answer to |2x-2|= 1/3 ?

The answer to |2x-2|= 1/3 is x= 5/6 \lor x= 7/6

Solve for x: |2x-2|= 1/3

The solution is x= 5/6 \lor x= 7/6

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∣ 2 x - 2 ∣ = \frac{1}{3}

x = \frac{5}{6} or x = \frac{7}{6}

Decimal Notation

x = 0.83333 \dots, x = 1.16666 \dots

Solution steps

∣ 2 x - 2 ∣ = \frac{1}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 2 = - \frac{1}{3} or 2 x - 2 = \frac{1}{3}

2 x - 2 = - \frac{1}{3} or 2 x - 2 = \frac{1}{3}

x = \frac{5}{6} or x = \frac{7}{6}

- 4 ∣ x + 5 ∣ + 10 = 10

3 ∣ x - 1 ∣ - 3 = 9

∣ m + 4 ∣ = - 6

∣ 2 x - 1 ∣ = - 3 x - 1

- 2 ∣ x + 4 ∣ = - 8

What is the answer to |2x-2|= 1/3 ?
The answer to |2x-2|= 1/3 is x= 5/6 \lor x= 7/6
Solve for x: |2x-2|= 1/3
The solution is x= 5/6 \lor x= 7/6