What is the answer to 3|x-2|=4 ?

The answer to 3|x-2|=4 is x= 2/3 \lor x= 10/3

Solve for x: 3|x-2|=4

The solution is x= 2/3 \lor x= 10/3

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3 ∣ x - 2 ∣ = 4

x = \frac{2}{3} or x = \frac{10}{3}

Decimal Notation

x = 0.66666 \dots, x = 3.33333 \dots

Solution steps

3 ∣ x - 2 ∣ = 4

Divide both sides by

3

∣ x - 2 ∣ = \frac{4}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{4}{3} or x - 2 = \frac{4}{3}

x - 2 = - \frac{4}{3} or x - 2 = \frac{4}{3}

x = \frac{2}{3} or x = \frac{10}{3}

∣ 4 - z ∣ - 10 = 1

15 = ∣ - y + 8 ∣

∣ - 5 c + 1 ∣ = 7

∣ 9 - 2 x ∣ = 10 + 3 x

8 + ∣ 4 x + 7 ∣ = 17