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

The answer to 9|x-6|-9=-2 is x= 47/9 \lor x= 61/9

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

The solution is x= 47/9 \lor x= 61/9

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9 ∣ x - 6 ∣ - 9 = - 2

x = \frac{47}{9} or x = \frac{61}{9}

Decimal

x = 5.22222 \dots, x = 6.77777 \dots

Solution steps

9 ∣ x - 6 ∣ - 9 = - 2

Move

9

to the right side

9 ∣ x - 6 ∣ = 7

Divide both sides by

9

∣ x - 6 ∣ = \frac{7}{9}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{7}{9} or x - 6 = \frac{7}{9}

x - 6 = - \frac{7}{9} or x - 6 = \frac{7}{9}

x = \frac{47}{9} or x = \frac{61}{9}

∣ m - 10 ∣ - 6 = 13

2 ∣ x - 1 ∣ = 8 + 2 x

∣ a + 5 ∣ = 1

6 = ∣ z - 6 ∣

∣ 2 v + 8 ∣ - 30 = - 10

What is the answer to 9|x-6|-9=-2 ?
The answer to 9|x-6|-9=-2 is x= 47/9 \lor x= 61/9
Solve for x: 9|x-6|-9=-2
The solution is x= 47/9 \lor x= 61/9