What is the answer to 2+9|6x-6|=47 ?

The answer to 2+9|6x-6|=47 is x= 1/6 \lor x= 11/6

Solve for x: 2+9|6x-6|=47

The solution is x= 1/6 \lor x= 11/6

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2 + 9 ∣ 6 x - 6 ∣ = 47

x = \frac{1}{6} or x = \frac{11}{6}

Decimal Notation

x = 0.16666 \dots, x = 1.83333 \dots

Solution steps

2 + 9 ∣ 6 x - 6 ∣ = 47

Move

2

to the right side

9 ∣ 6 x - 6 ∣ = 45

Divide both sides by

9

∣ 6 x - 6 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 6 = - 5 or 6 x - 6 = 5

6 x - 6 = - 5 or 6 x - 6 = 5

x = \frac{1}{6} or x = \frac{11}{6}

∣ - 8 + x ∣ = 15

∣ 4 x + 5 ∣ = - 25

∣ t - 14 ∣ = 47

15 = ∣ 5 u + 4 ∣

4 ∣ x - 2 ∣ = 12

What is the answer to 2+9|6x-6|=47 ?
The answer to 2+9|6x-6|=47 is x= 1/6 \lor x= 11/6
Solve for x: 2+9|6x-6|=47
The solution is x= 1/6 \lor x= 11/6