What is the answer to 8=2|q-6|+2 ?

The answer to 8=2|q-6|+2 is q=3\lor q=9

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8=2|q-6|+2

8 = 2 ∣ q - 6 ∣ + 2

q = 3 or q = 9

Solution steps

8 = 2 ∣ q - 6 ∣ + 2

Switch sides

2 ∣ q - 6 ∣ + 2 = 8

Move

2

to the right side

2 ∣ q - 6 ∣ = 6

Divide both sides by

2

∣ q - 6 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

q - 6 = - 3 or q - 6 = 3

q - 6 = - 3 or q - 6 = 3

q = 3 or q = 9

x^{11} = 2 x^{3}

∣ x + 2 ∣ = 4 x - 5

12 ∣ 9 x + 7 ∣ + 1 = 18

∣ 4 x - 3 ∣ = - 9

∣ x - 7 ∣ = 7 - x