What is the answer to 2|2x-5|+2=20 ?

The answer to 2|2x-5|+2=20 is x=-2\lor x=7

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2|2x-5|+2=20

2 ∣ 2 x - 5 ∣ + 2 = 20

x = - 2 or x = 7

Solution steps

2 ∣ 2 x - 5 ∣ + 2 = 20

Move

2

to the right side

2 ∣ 2 x - 5 ∣ = 18

Divide both sides by

2

∣ 2 x - 5 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 9 or 2 x - 5 = 9

2 x - 5 = - 9 or 2 x - 5 = 9

x = - 2 or x = 7

∣ 5 a + 8 ∣ = 3 a - 10

12 = 71 - ∣ 5 p + 9 ∣

∣ 2 x - 3 ∣ + 5 = 4

4 - 3 ∣ x ∣ = 10

∣ a ∣ = a + 4