What is the answer to |-1-5x|=|x-9| ?

The answer to |-1-5x|=|x-9| is x=-5/2 \lor x= 4/3

Solve for x: |-1-5x|=|x-9|

The solution is x=-5/2 \lor x= 4/3

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∣ - 1 - 5 x ∣ = ∣ x - 9 ∣

x = - \frac{5}{2} or x = \frac{4}{3}

Solution steps

∣ - 1 - 5 x ∣ = ∣ x - 9 ∣

Find positive and negative intervals

x \leq - \frac{1}{5}, - \frac{1}{5} < x < 9, x \geq 9

Solve the inequality for each interval

x = - \frac{5}{2} or x = \frac{4}{3} or No Solution

x = - \frac{5}{2} or x = \frac{4}{3}

- \frac{1}{9} - 1

\frac{3 x}{2} = 12

x^{4} + 3 x^{3} + 3 x^{2} + 3 x + 2

- 11 x = 121

1^{2} - 2 x + 1 = 0

What is the answer to |-1-5x|=|x-9| ?
The answer to |-1-5x|=|x-9| is x=-5/2 \lor x= 4/3
Solve for x: |-1-5x|=|x-9|
The solution is x=-5/2 \lor x= 4/3