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

The answer to |2x-4|=2x+2 is x= 1/2

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|2x-4|=2x+2

∣ 2 x - 4 ∣ = 2 x + 2

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ 2 x - 4 ∣ = 2 x + 2

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = \frac{1}{2} or No Solution

x = \frac{1}{2}

2 ∣ k - 4 ∣ = 6

20 = ∣ v - 20 ∣

∣ x - 6 ∣ + 2 = - 5

8 ∣ - 4 x + 34 ∣ + 10 = 122

8 ∣ 4 x - 3 ∣ = - 24