What is the answer to 1+3|x-2|=16 ?

The answer to 1+3|x-2|=16 is x=-3\lor x=7

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1+3|x-2|=16

1 + 3 ∣ x - 2 ∣ = 16

x = - 3 or x = 7

Solution steps

1 + 3 ∣ x - 2 ∣ = 16

Move

1

to the right side

3 ∣ x - 2 ∣ = 15

Divide both sides by

3

∣ x - 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 3 or x = 7

∣ h ∣ = - 19

\frac{x}{5} + 10 = 12

7 ∣ x - 6 ∣ = 26

j - ∣ j ∣ = - 8

∣ z + 2 ∣ = 5