What is the answer to 5|2x-4|+1=11 ?

The answer to 5|2x-4|+1=11 is x=1\lor x=3

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5|2x-4|+1=11

5 ∣ 2 x - 4 ∣ + 1 = 11

x = 1 or x = 3

Solution steps

5 ∣ 2 x - 4 ∣ + 1 = 11

Move

1

to the right side

5 ∣ 2 x - 4 ∣ = 10

Divide both sides by

5

∣ 2 x - 4 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 2 or 2 x - 4 = 2

2 x - 4 = - 2 or 2 x - 4 = 2

x = 1 or x = 3

∣ 5 - b ∣ = 12

∣ 5 - 2 x ∣ = 18

- 2 ∣ 7 - 9 c ∣ + 7 = - 15

\frac{d}{3} = 3

20 = ∣ 9 - 4 y ∣