What is the answer to 2|w-2|+13=41 ?

The answer to 2|w-2|+13=41 is w=-12\lor w=16

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2|w-2|+13=41

2 ∣ w - 2 ∣ + 13 = 41

w = - 12 or w = 16

Solution steps

2 ∣ w - 2 ∣ + 13 = 41

Move

13

to the right side

2 ∣ w - 2 ∣ = 28

Divide both sides by

2

∣ w - 2 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

w - 2 = - 14 or w - 2 = 14

w - 2 = - 14 or w - 2 = 14

w = - 12 or w = 16

120 + 2 x = ∣ 4 x + 4 ∣

6 + ∣ 5 x + 9 ∣ = 1

2 ∣ x + 1 ∣ + 6 = 36

∣ 4 p - 3 ∣ = 9

∣ 6 x - 3 ∣ = - 3

What is the answer to 2|w-2|+13=41 ?
The answer to 2|w-2|+13=41 is w=-12\lor w=16
Solve for w: 2|w-2|+13=41
The solution is w=-12\lor w=16