What is the answer to 3|2u-8|+5=59 ?

The answer to 3|2u-8|+5=59 is u=-5\lor u=13

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3|2u-8|+5=59

3 ∣ 2 u - 8 ∣ + 5 = 59

u = - 5 or u = 13

Solution steps

3 ∣ 2 u - 8 ∣ + 5 = 59

Move

5

to the right side

3 ∣ 2 u - 8 ∣ = 54

Divide both sides by

3

∣ 2 u - 8 ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 u - 8 = - 18 or 2 u - 8 = 18

2 u - 8 = - 18 or 2 u - 8 = 18

u = - 5 or u = 13

∣ x - 1 ∣ = - 9

∣ 2 x - 20 ∣ = 42

∣ X - 3 ∣ = 9

∣ x + 4 ∣ = x - 3

∣ x + 4 ∣ = x - 1

What is the answer to 3|2u-8|+5=59 ?
The answer to 3|2u-8|+5=59 is u=-5\lor u=13
Solve for u: 3|2u-8|+5=59
The solution is u=-5\lor u=13