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

The answer to |3x-9|-24=-12 is x=-1\lor x=7

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|3x-9|-24=-12

∣ 3 x - 9 ∣ - 24 = - 12

x = - 1 or x = 7

Solution steps

∣ 3 x - 9 ∣ - 24 = - 12

Move

24

to the right side

∣ 3 x - 9 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 9 = - 12 or 3 x - 9 = 12

3 x - 9 = - 12 or 3 x - 9 = 12

x = - 1 or x = 7

∣ 8 x - 1 ∣ = 3 x

∣ 3 x - 2 ∣ + 2 = 5

∣ x + 3 ∣ - ∣ x - 1 ∣ = x + 1

x^{2} + x - 6 = 0

∣ 3 x ∣ = 1

What is the answer to |3x-9|-24=-12 ?
The answer to |3x-9|-24=-12 is x=-1\lor x=7
Solve for x: |3x-9|-24=-12
The solution is x=-1\lor x=7