What is the answer to |x-2|=5x+14 ?

The answer to |x-2|=5x+14 is x=-2

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|x-2|=5x+14

∣ x - 2 ∣ = 5 x + 14

x = - 2

Solution steps

∣ x - 2 ∣ = 5 x + 14

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - 2 or No Solution

x = - 2

∣ 2 x - 1 ∣ = x + 2

∣ 5 y - 2 ∣ = 0

∣ 7 x + 21 ∣ = 14 x

5 ∣ m + 2 ∣ + 10 = 50

∣ x - 1 ∣ = - 6