What is the answer to 3|2k-8|+3=69 ?

The answer to 3|2k-8|+3=69 is k=-7\lor k=15

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3|2k-8|+3=69

3 ∣ 2 k - 8 ∣ + 3 = 69

k = - 7 or k = 15

Solution steps

3 ∣ 2 k - 8 ∣ + 3 = 69

Move

3

to the right side

3 ∣ 2 k - 8 ∣ = 66

Divide both sides by

3

∣ 2 k - 8 ∣ = 22

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 k - 8 = - 22 or 2 k - 8 = 22

2 k - 8 = - 22 or 2 k - 8 = 22

k = - 7 or k = 15

∣ 2 z + 64 ∣ = 8

∣ 13 x + 12 ∣ = 19

- 3 ∣ p ∣ = - 3

- 3 ∣ p ∣ = - 6

9 ∣ 2 n - 3 ∣ = 9

What is the answer to 3|2k-8|+3=69 ?
The answer to 3|2k-8|+3=69 is k=-7\lor k=15
Solve for k: 3|2k-8|+3=69
The solution is k=-7\lor k=15