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

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

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

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

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3 ∣ x - 2 ∣ = 4, x

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}

5 ∣ 6 y - 3 ∣ - 5 = 15

∣ 5 u - 10 ∣ = 5

∣ 4 x - 7 ∣ = - 3

3 ∣ 2 x - 6 ∣ + 2 = 14

- 2 ∣ - 3 x - 5 ∣ = 0

What is the answer to 3|x-2|=4,x ?
The answer to 3|x-2|=4,x is x= 2/3 \lor x= 10/3
Solve for x: 3|x-2|=4,x
The solution is x= 2/3 \lor x= 10/3