What is the answer to |2x-8|-2=16-2x ?

The answer to |2x-8|-2=16-2x is x= 13/2

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|2x-8|-2=16-2x

∣ 2 x - 8 ∣ - 2 = 16 - 2 x

x = \frac{13}{2}

Decimal Notation

x = 6.5

Solution steps

∣ 2 x - 8 ∣ - 2 = 16 - 2 x

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = \frac{13}{2}

x = \frac{13}{2}

∣ x ∣ - 11 = - 8

∣ 3 x + 3 ∣ = 9 x + 9

3 ∣ 2 x ∣ = - 30

9 - ∣ 7 x ∣ = 7

- 9 ∣ c + 8 ∣ = 99