What is the answer to |2x-10|=6+|5-x| ?

The answer to |2x-10|=6+|5-x| is x=-1\lor x=11

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|2x-10|=6+|5-x|

∣ 2 x - 10 ∣ = 6 + ∣ 5 - x ∣

x = - 1 or x = 11

Solution steps

∣ 2 x - 10 ∣ = 6 + ∣ 5 - x ∣

Find positive and negative intervals

x \leq 5, x > 5

Solve the inequality for each interval

x = - 1 or x = 11

∣ 2 x - 4 ∣ = ∣ x + 1 ∣

x^{2} - 3 x + 2 ∣ x - 2 ∣ = 0

- 2 ∣ x - 1 ∣ + 3 = 3

12 - 5 ∣ x - 2 ∣ = 2

y, y - 3 = ∣ x - 4 ∣

What is the answer to |2x-10|=6+|5-x| ?
The answer to |2x-10|=6+|5-x| is x=-1\lor x=11
Solve for x: |2x-10|=6+|5-x|
The solution is x=-1\lor x=11