What is the answer to 2|3a-6|=24 ?

The answer to 2|3a-6|=24 is a=-2\lor a=6

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2|3a-6|=24

2 ∣ 3 a - 6 ∣ = 24

a = - 2 or a = 6

Solution steps

2 ∣ 3 a - 6 ∣ = 24

Divide both sides by

2

∣ 3 a - 6 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 a - 6 = - 12 or 3 a - 6 = 12

3 a - 6 = - 12 or 3 a - 6 = 12

a = - 2 or a = 6

\frac{1}{2} ∣ x + 4 ∣ = 5

∣ 2 x - 6 ∣ = 12

0 = ∣ y - 1 ∣

∣ 10 z - 16 - 4 z ∣ = 8

4 ∣ x + 3 ∣ = 8 x - 12