What is the answer to 3|x-6|=10 ?

The answer to 3|x-6|=10 is x= 8/3 \lor x= 28/3

Solve for x: 3|x-6|=10

The solution is x= 8/3 \lor x= 28/3

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3 ∣ x - 6 ∣ = 10

x = \frac{8}{3} or x = \frac{28}{3}

Decimal Notation

x = 2.66666 \dots, x = 9.33333 \dots

Solution steps

3 ∣ x - 6 ∣ = 10

Divide both sides by

3

∣ x - 6 ∣ = \frac{10}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{10}{3} or x - 6 = \frac{10}{3}

x - 6 = - \frac{10}{3} or x - 6 = \frac{10}{3}

x = \frac{8}{3} or x = \frac{28}{3}

4 - ∣ x ∣ = 1

∣ n - 4 ∣ = 13

∣ x + 1 ∣ + 2 x = 7

∣ 4 x + 7 ∣ - 2 = 5 x

∣ z ∣ - z = 1

What is the answer to 3|x-6|=10 ?
The answer to 3|x-6|=10 is x= 8/3 \lor x= 28/3
Solve for x: 3|x-6|=10
The solution is x= 8/3 \lor x= 28/3