What is the answer to 2|2x-6|+5=21 ?

The answer to 2|2x-6|+5=21 is x=-1\lor x=7

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2|2x-6|+5=21

2 ∣ 2 x - 6 ∣ + 5 = 21

x = - 1 or x = 7

Solution steps

2 ∣ 2 x - 6 ∣ + 5 = 21

Move

5

to the right side

2 ∣ 2 x - 6 ∣ = 16

Divide both sides by

2

∣ 2 x - 6 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 6 = - 8 or 2 x - 6 = 8

2 x - 6 = - 8 or 2 x - 6 = 8

x = - 1 or x = 7

2 ∣ 5 x - 2 ∣ + 6 = - 2

x^{3} = - ∣ x ∣ + 2

- 53 = 7 - ∣ 6 c + 750 ∣

3 ∣ x - 4 ∣ - 3 = 9

39 = 6 ∣ x - 2 ∣ + 3