What is the answer to 3+2|x-6|=11 ?

The answer to 3+2|x-6|=11 is x=2\lor x=10

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3+2|x-6|=11

3 + 2 ∣ x - 6 ∣ = 11

x = 2 or x = 10

Solution steps

3 + 2 ∣ x - 6 ∣ = 11

Move

3

to the right side

2 ∣ x - 6 ∣ = 8

Divide both sides by

2

∣ x - 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - 4 or x - 6 = 4

x - 6 = - 4 or x - 6 = 4

x = 2 or x = 10

∣ 5 - x ∣ + 3 = 8

∣ 5 c - 6 ∣ = 31

∣ 5 x - 6 ∣ - 6 = x

∣ 5 x ∣ = 15

x^{2} - 2 x = 0