What is the answer to |2x-0.5|=x+0.5 ?

The answer to |2x-0.5|=x+0.5 is x=0\lor x=1

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|2x-0.5|=x+0.5

∣ 2 x - 0.5 ∣ = x + 0.5

x = 0 or x = 1

Solution steps

∣ 2 x - 0.5 ∣ = x + 0.5

Find positive and negative intervals

x < 0.25, x \geq 0.25

Solve the inequality for each interval

x = 0 or x = 1

∣ 2 - x ∣ + 7 = 10

4 ∣ - 8 p - 4 ∣ = 0

13 - 2 ∣ 3 x - 1 ∣ = - 15

2 ∣ x + 5 ∣ - 3 = 15

∣ 8 x + 7 ∣ + 5 = 2

What is the answer to |2x-0.5|=x+0.5 ?
The answer to |2x-0.5|=x+0.5 is x=0\lor x=1
Solve for x: |2x-0.5|=x+0.5
The solution is x=0\lor x=1