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

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

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|2x+2|=4x-8

∣ 2 x + 2 ∣ = 4 x - 8

x = 5

Solution steps

∣ 2 x + 2 ∣ = 4 x - 8

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

No Solution or x = 5

x = 5

x^{2} - ∣ x ∣ - 1 = 0

∣ t + 2 ∣ = 5

5 ∣ x - 6 ∣ = 18

5 ∣ x - 6 ∣ = 22

5 ∣ x - 6 ∣ = 28