What is the answer to 3|x-6|=4 ?

The answer to 3|x-6|=4 is x= 14/3 \lor x= 22/3

Solve for x: 3|x-6|=4

The solution is x= 14/3 \lor x= 22/3

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3 ∣ x - 6 ∣ = 4

x = \frac{14}{3} or x = \frac{22}{3}

Decimal Notation

x = 4.66666 \dots, x = 7.33333 \dots

Solution steps

3 ∣ x - 6 ∣ = 4

Divide both sides by

3

∣ x - 6 ∣ = \frac{4}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{4}{3} or x - 6 = \frac{4}{3}

x - 6 = - \frac{4}{3} or x - 6 = \frac{4}{3}

x = \frac{14}{3} or x = \frac{22}{3}

- 2 ∣ x - 3 ∣ = 0

∣ (x + 2) (x - 3) ∣ = 0

∣ y - 2 ∣ = 7

∣ 2 x + 11 ∣ = 7

2 x^{2} - 5 x = 4 - x