What is the answer to |3x-6|+9=12 ?

The answer to |3x-6|+9=12 is x=1\lor x=3

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|3x-6|+9=12

∣ 3 x - 6 ∣ + 9 = 12

x = 1 or x = 3

Solution steps

∣ 3 x - 6 ∣ + 9 = 12

Move

9

to the right side

∣ 3 x - 6 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 1 or x = 3

6 x + 5 x = - 11

(\frac{8}{3})^{- 2}

- 3 x + 6 \leq 12

- 7 x \leq 28

∣ 2 x ∣ = 2 x^{2} + x - 4