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

The answer to |3x+12|=9x is x=2

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|3x+12|=9x

∣ 3 x + 12 ∣ = 9 x

x = 2

Solution steps

∣ 3 x + 12 ∣ = 9 x

Find positive and negative intervals

x < - 4, x \geq - 4

Solve the inequality for each interval

No Solution or x = 2

x = 2

x^{2} + x - 4 = 2

∣ x + 1 ∣ + 2 = 7

5 = - ∣ x - 2 ∣ + 1

∣ x + 9 ∣ = 14

∣ 2 x - 1 ∣ = x^{2} + 1