What is the answer to |-5x+2|=x+26 ?

The answer to |-5x+2|=x+26 is x=-4\lor x=7

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|-5x+2|=x+26

∣ - 5 x + 2 ∣ = x + 26

x = - 4 or x = 7

Solution steps

∣ - 5 x + 2 ∣ = x + 26

Find positive and negative intervals

x \leq \frac{2}{5}, x > \frac{2}{5}

Solve the inequality for each interval

x = - 4 or x = 7

x^{4} - 2 + ∣ x ∣ = 0

∣ 6 + r ∣ + 10 = 14

∣ d ∣ = - 2

∣ c + 3 ∣ = 16

∣ g ∣ - 4 = - 1