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

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

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|x-2|=4x+4

∣ x - 2 ∣ = 4 x + 4

x = - \frac{2}{5}

Solution steps

∣ x - 2 ∣ = 4 x + 4

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{2}{5} or No Solution

x = - \frac{2}{5}

5 + ∣ 5 x - 7 ∣ = 15

2 ∣ 5 x ∣ = 10

\frac{x}{2} - 1 - 3 = 0

∣ 3 x + 2 ∣ = 4 - 2 x

x^{2} - 3 = 1