What is the answer to 2|x-4|+8=18 ?

The answer to 2|x-4|+8=18 is x=-1\lor x=9

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2|x-4|+8=18

2 ∣ x - 4 ∣ + 8 = 18

x = - 1 or x = 9

Solution steps

2 ∣ x - 4 ∣ + 8 = 18

Move

8

to the right side

2 ∣ x - 4 ∣ = 10

Divide both sides by

2

∣ x - 4 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 5 or x - 4 = 5

x - 4 = - 5 or x - 4 = 5

x = - 1 or x = 9

∣ 1 - 7 x ∣ = 13

4 ∣ 8 - 5 n ∣ = 13

∣ 5 + b ∣ = 1

∣ 2 x - 7 ∣ = 5

\frac{x}{7} = 3