What is the answer to 4|x-6|+2=12 ?

The answer to 4|x-6|+2=12 is x= 7/2 \lor x= 17/2

Solve for x: 4|x-6|+2=12

The solution is x= 7/2 \lor x= 17/2

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4 ∣ x - 6 ∣ + 2 = 12

x = \frac{7}{2} or x = \frac{17}{2}

Decimal Notation

x = 3.5, x = 8.5

Solution steps

4 ∣ x - 6 ∣ + 2 = 12

Move

2

to the right side

4 ∣ x - 6 ∣ = 10

Divide both sides by

4

∣ x - 6 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{5}{2} or x - 6 = \frac{5}{2}

x - 6 = - \frac{5}{2} or x - 6 = \frac{5}{2}

x = \frac{7}{2} or x = \frac{17}{2}

3 ∣ 2 x - 3 ∣ = 15

4 ∣ x - 5 ∣ = - 16

∣ 2 x - 10 ∣ = - 3 x

- 7 - ∣ x + 6 ∣ = - 12

∣ x - 1 ∣ + 4 = 4

What is the answer to 4|x-6|+2=12 ?
The answer to 4|x-6|+2=12 is x= 7/2 \lor x= 17/2
Solve for x: 4|x-6|+2=12
The solution is x= 7/2 \lor x= 17/2