What is the answer to |x-9|=4x ?

The answer to |x-9|=4x is x= 9/5

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|x-9|=4x

∣ x - 9 ∣ = 4 x

x = \frac{9}{5}

Solution steps

∣ x - 9 ∣ = 4 x

Find positive and negative intervals

x < 9, x \geq 9

Solve the inequality for each interval

x = \frac{9}{5} or No Solution

x = \frac{9}{5}

8 x = 72

- \frac{6}{2 ( - 3 )}

3 x + 2 \geq - 4

2 (x - 4)^{2} = 26

x^{3} + 2 x^{2} - 3 x > 0