What is the answer to 3|x-6|=14 ?

The answer to 3|x-6|=14 is x= 4/3 \lor x= 32/3

Solve for x: 3|x-6|=14

The solution is x= 4/3 \lor x= 32/3

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3 ∣ x - 6 ∣ = 14

x = \frac{4}{3} or x = \frac{32}{3}

Decimal Notation

x = 1.33333 \dots, x = 10.66666 \dots

Solution steps

3 ∣ x - 6 ∣ = 14

Divide both sides by

3

∣ x - 6 ∣ = \frac{14}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{14}{3} or x - 6 = \frac{14}{3}

x - 6 = - \frac{14}{3} or x - 6 = \frac{14}{3}

x = \frac{4}{3} or x = \frac{32}{3}

2 ∣ - 3 x + 7 ∣ = 8

2 ∣ x ∣ = 5

∣ 6 y - 18 ∣ = 36

∣ x ∣ = \frac{1}{23}

∣ n + 4 ∣ = 1

What is the answer to 3|x-6|=14 ?
The answer to 3|x-6|=14 is x= 4/3 \lor x= 32/3
Solve for x: 3|x-6|=14
The solution is x= 4/3 \lor x= 32/3