What is the answer to 2|3x-9|+12=24 ?

The answer to 2|3x-9|+12=24 is x=1\lor x=5

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2|3x-9|+12=24

2 ∣ 3 x - 9 ∣ + 12 = 24

x = 1 or x = 5

Solution steps

2 ∣ 3 x - 9 ∣ + 12 = 24

Move

12

to the right side

2 ∣ 3 x - 9 ∣ = 12

Divide both sides by

2

∣ 3 x - 9 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 9 = - 6 or 3 x - 9 = 6

3 x - 9 = - 6 or 3 x - 9 = 6

x = 1 or x = 5

∣ 4 x + 2 ∣ - 3 = 11

∣ x + 15 ∣ = 3

∣ 2 x + 9 ∣ = 4

∣ 5 x + 4 ∣ = 3 x - 3

9 ∣ u + 30 ∣ = 90

What is the answer to 2|3x-9|+12=24 ?
The answer to 2|3x-9|+12=24 is x=1\lor x=5
Solve for x: 2|3x-9|+12=24
The solution is x=1\lor x=5