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

The answer to 3|x+6|=9x-6 is x=4

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3|x+6|=9x-6

3 ∣ x + 6 ∣ = 9 x - 6

x = 4

Solution steps

3 ∣ x + 6 ∣ = 9 x - 6

Find positive and negative intervals

x < - 6, x \geq - 6

Solve the inequality for each interval

No Solution or x = 4

x = 4

12 x^{2} - 24 x - 4

2 (x + 4)^{2} = 18

x^{2} = - 4 x - 6

\frac{2}{3} \cdot \frac{1}{2}

9 b^{2} - 9 = 279