What is the answer to |(x-2)/3 |-0(3)= 1/3 ?

The answer to |(x-2)/3 |-0(3)= 1/3 is x=1\lor x=3

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|(x-2)/3 |-0(3)= 1/3

\frac{x - 2}{3} - 0 (3) = \frac{1}{3}

x = 1 or x = 3

Solution steps

\frac{x - 2}{3} - 0 \cdot 3 = \frac{1}{3}

Apply rule

0 \cdot a = 0

\frac{x - 2}{3} - 0 = \frac{1}{3}

\frac{x - 2}{3} - 0 = \frac{x - 2}{3}

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 1 or x = 3

2 ∣ x ∣ + ∣ 2 x + 3 ∣ = 7

2 ∣ x - 1 ∣ = 2 x - 7

∣ x - 3 ∣ = x^{2} - 5 x + 6

∣ x + 2 ∣ + ∣ x + 5 ∣ - ∣ x - 7 ∣ = 15

x^{2} - x + 3 = x^{2} - 4 x + 7

What is the answer to |(x-2)/3 |-0(3)= 1/3 ?
The answer to |(x-2)/3 |-0(3)= 1/3 is x=1\lor x=3
Solve for x: |(x-2)/3 |-0(3)= 1/3
The solution is x=1\lor x=3