What is the answer to |x|-2x+5=0 ?

The answer to |x|-2x+5=0 is x=5

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|x|-2x+5=0

∣ x ∣ - 2 x + 5 = 0

x = 5

Solution steps

∣ x ∣ - 2 x + 5 = 0

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = 5

x = 5

[∣ x - 1 ∣] + [∣ 7 - x ∣] = 6

∣ x + 2 ∣ = ∣ x ∣

x^{2} - 6 x + 7 = \frac{( 5 x - 9 )}{3}

∣ 2 x + 5 ∣ + ∣ 3 - 7 x ∣ = 16

∣ x ∣^{2} - ∣ x ∣ + 4 = 2 x^{2} - 3 ∣ x ∣ + 1