What is the answer to 3|5-w|-8=4 ?

The answer to 3|5-w|-8=4 is w=1\lor w=9

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3|5-w|-8=4

3 ∣ 5 - w ∣ - 8 = 4

w = 1 or w = 9

Solution steps

3 ∣ 5 - w ∣ - 8 = 4

Move

8

to the right side

3 ∣ 5 - w ∣ = 12

Divide both sides by

3

∣ 5 - w ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - w = - 4 or 5 - w = 4

5 - w = - 4 or 5 - w = 4

w = 1 or w = 9

∣ 6 x - 3 ∣ = 9

∣ y - 11 ∣ = 36

∣ 4 x + 10 ∣ + 6 = 11

3 ∣ 2 x - 7 ∣ - 5 = 4

∣ x + 2 ∣ = 12