What is the answer to 6|x-3|+9=16 ?

The answer to 6|x-3|+9=16 is x= 11/6 \lor x= 25/6

Solve for x: 6|x-3|+9=16

The solution is x= 11/6 \lor x= 25/6

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6 ∣ x - 3 ∣ + 9 = 16

x = \frac{11}{6} or x = \frac{25}{6}

Decimal Notation

x = 1.83333 \dots, x = 4.16666 \dots

Solution steps

6 ∣ x - 3 ∣ + 9 = 16

Move

9

to the right side

6 ∣ x - 3 ∣ = 7

Divide both sides by

6

∣ x - 3 ∣ = \frac{7}{6}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - \frac{7}{6} or x - 3 = \frac{7}{6}

x - 3 = - \frac{7}{6} or x - 3 = \frac{7}{6}

x = \frac{11}{6} or x = \frac{25}{6}

∣ 4 x - 4 ∣ - 8 = 3

∣ x + 1 ∣ - 2 = 10

∣ x - 2 ∣ = 2 x - 10

∣ 5 n - 3 ∣ = 1

8 ∣ u ∣ = 0

What is the answer to 6|x-3|+9=16 ?
The answer to 6|x-3|+9=16 is x= 11/6 \lor x= 25/6
Solve for x: 6|x-3|+9=16
The solution is x= 11/6 \lor x= 25/6