What is the answer to 3|x-6|=16 ?

The answer to 3|x-6|=16 is x= 2/3 \lor x= 34/3

Solve for x: 3|x-6|=16

The solution is x= 2/3 \lor x= 34/3

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3 ∣ x - 6 ∣ = 16

x = \frac{2}{3} or x = \frac{34}{3}

Decimal Notation

x = 0.66666 \dots, x = 11.33333 \dots

Solution steps

3 ∣ x - 6 ∣ = 16

Divide both sides by

3

∣ x - 6 ∣ = \frac{16}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{16}{3} or x - 6 = \frac{16}{3}

x - 6 = - \frac{16}{3} or x - 6 = \frac{16}{3}

x = \frac{2}{3} or x = \frac{34}{3}

∣ 3 - 5 x ∣ = 7

∣ 3 x - 11 ∣ = x + 3

∣ - 3 x - 1 ∣ + 6 = 4

∣ x - 8 ∣ = 14

- ∣ 2 x - 6 ∣ + 1 = - 5

What is the answer to 3|x-6|=16 ?
The answer to 3|x-6|=16 is x= 2/3 \lor x= 34/3
Solve for x: 3|x-6|=16
The solution is x= 2/3 \lor x= 34/3