What is the answer to |x-2|=4x+10 ?

The answer to |x-2|=4x+10 is x=-8/5

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|x-2|=4x+10

∣ x - 2 ∣ = 4 x + 10

x = - \frac{8}{5}

Decimal Notation

x = - 1.6

Solution steps

∣ x - 2 ∣ = 4 x + 10

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{8}{5} or No Solution

x = - \frac{8}{5}

∣ 1 - 3 c ∣ = 20

14 ∣ x + 14 ∣ + 13 = 69

∣ m ∣ = 14

\frac{x}{2} - 1 = 1

∣ 5 + 2 j ∣ = 9