What is the answer to 2|x-6|+14=38 ?

The answer to 2|x-6|+14=38 is x=-6\lor x=18

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2|x-6|+14=38

2 ∣ x - 6 ∣ + 14 = 38

x = - 6 or x = 18

Solution steps

2 ∣ x - 6 ∣ + 14 = 38

Move

14

to the right side

2 ∣ x - 6 ∣ = 24

Divide both sides by

2

∣ x - 6 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - 12 or x - 6 = 12

x - 6 = - 12 or x - 6 = 12

x = - 6 or x = 18

∣ 6 v + 9 ∣ = 3

∣ 5 x + 3 ∣ - 4 = - 2

\frac{2}{3} x + 2 - 8 = 0

∣ 3 (x + 1) + 6 ∣ = 15

∣ - 3 - 2 x ∣ = - x

What is the answer to 2|x-6|+14=38 ?
The answer to 2|x-6|+14=38 is x=-6\lor x=18
Solve for x: 2|x-6|+14=38
The solution is x=-6\lor x=18