What is the answer to |a-10|-|2a-5|=0 ?

The answer to |a-10|-|2a-5|=0 is a=-5\lor a=5

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|a-10|-|2a-5|=0

∣ a - 10 ∣ - ∣ 2 a - 5 ∣ = 0

a = - 5 or a = 5

Solution steps

∣ a - 10 ∣ - ∣ 2 a - 5 ∣ = 0

Find positive and negative intervals

a < \frac{5}{2}, \frac{5}{2} \leq a < 10, a \geq 10

Solve the inequality for each interval

a = - 5 or a = 5 or No Solution

a = - 5 or a = 5

\frac{x}{2} - 5 = 1

4 ∣ x ∣ + 10 = 14 x

- 4 ∣ 3 v ∣ = 60

∣ - 3 x - 6 ∣ = 18

- \frac{2}{3} x - 1 = 5

What is the answer to |a-10|-|2a-5|=0 ?
The answer to |a-10|-|2a-5|=0 is a=-5\lor a=5
Solve for a: |a-10|-|2a-5|=0
The solution is a=-5\lor a=5