What is the answer to 3|x-6|=8 ?

The answer to 3|x-6|=8 is x= 10/3 \lor x= 26/3

Solve for x: 3|x-6|=8

The solution is x= 10/3 \lor x= 26/3

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3 ∣ x - 6 ∣ = 8

x = \frac{10}{3} or x = \frac{26}{3}

Decimal Notation

x = 3.33333 \dots, x = 8.66666 \dots

Solution steps

3 ∣ x - 6 ∣ = 8

Divide both sides by

3

∣ x - 6 ∣ = \frac{8}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{8}{3} or x - 6 = \frac{8}{3}

x - 6 = - \frac{8}{3} or x - 6 = \frac{8}{3}

x = \frac{10}{3} or x = \frac{26}{3}

∣ - 3 x ∣ = 9

7 ∣ 4 n + 8 ∣ - 6 = 106

- 2 ∣ 3 d ∣ = 4

∣ 3 x - 8 ∣ + 1 = - 3

x^{2} - 6 x + 8 = x - 2