What is the answer to |2x|+|x-5|=8 ?

The answer to |2x|+|x-5|=8 is x=-1\lor x=3

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|2x|+|x-5|=8

∣ 2 x ∣ + ∣ x - 5 ∣ = 8

x = - 1 or x = 3

Solution steps

∣ 2 x ∣ + ∣ x - 5 ∣ = 8

Find positive and negative intervals

x < 0, 0 \leq x < 5, x \geq 5

Solve the inequality for each interval

x = - 1 or x = 3 or No Solution

x = - 1 or x = 3

6 \frac{( 4 w - 1 )}{6} = \frac{( 2 w )}{3} + \frac{1}{4}

(x - 1 - x^{2})^{3} + x^{2} - x + 1 = 0

∣ x - 3 ∣ = 5 - 2 x

∣ x + 5 ∣ + ∣ 3 - 5 ∣ = 15

∣ x - 1 ∣ + ∣ x - 3 ∣ + 3 ∣ 5 - x ∣ = 9