What is the answer to |2x-1|-6=|x-5| ?

The answer to |2x-1|-6=|x-5| is x=-10\lor x=4

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|2x-1|-6=|x-5|

∣ 2 x - 1 ∣ - 6 = ∣ x - 5 ∣

x = - 10 or x = 4

Solution steps

∣ 2 x - 1 ∣ - 6 = ∣ x - 5 ∣

Find positive and negative intervals

x < \frac{1}{2}, \frac{1}{2} \leq x < 5, x \geq 5

Solve the inequality for each interval

x = - 10 or x = 4 or No Solution

x = - 10 or x = 4

x^{3} - x + 4 = x + 4

y, x = ∣ y + 1 ∣

0 = 7 ∣ h ∣

x - \frac{1}{4} = 7

∣ 5 x ∣ = - 10

What is the answer to |2x-1|-6=|x-5| ?
The answer to |2x-1|-6=|x-5| is x=-10\lor x=4
Solve for x: |2x-1|-6=|x-5|
The solution is x=-10\lor x=4