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

The answer to |-x+5|=|x| is x= 5/2

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|-x+5|=|x|

∣ - x + 5 ∣ = ∣ x ∣

x = \frac{5}{2}

Decimal

x = 2.5

Solution steps

∣ - x + 5 ∣ = ∣ x ∣

Find positive and negative intervals

x < 0, 0 \leq x \leq 5, x > 5

Solve the inequality for each interval

No Solution or x = \frac{5}{2}

x = \frac{5}{2}

∣ x - 3 ∣ = x - ∣ x + 1 ∣

∣ 2 x - 1 ∣ = ∣ x + 2 ∣

∣ b ∣ = 5

x, ∣ x - 1 ∣ + 5 = 2

3 ∣ x + 1 ∣ = 6