What is the answer to |x-2|=4x+8 ?

The answer to |x-2|=4x+8 is x=-6/5

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|x-2|=4x+8

∣ x - 2 ∣ = 4 x + 8

x = - \frac{6}{5}

Decimal Notation

x = - 1.2

Solution steps

∣ x - 2 ∣ = 4 x + 8

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{6}{5} or No Solution

x = - \frac{6}{5}

5 + 2 ∣ 2 x + 4 ∣ = 9

∣ - 2 y + 6 ∣ = 6

∣ 3 x + 1 ∣ + 5 = x

37 = ∣ y + 22 ∣

∣ 6 x ∣ = 36