What is the answer to 5-3|2+2w|=-7 ?

The answer to 5-3|2+2w|=-7 is w=-3\lor w=1

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5-3|2+2w|=-7

5 - 3 ∣ 2 + 2 w ∣ = - 7

w = - 3 or w = 1

Solution steps

5 - 3 ∣ 2 + 2 w ∣ = - 7

Move

5

to the right side

- 3 ∣ 2 + 2 w ∣ = - 12

Divide both sides by

- 3

∣ 2 + 2 w ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 + 2 w = - 4 or 2 + 2 w = 4

2 + 2 w = - 4 or 2 + 2 w = 4

w = - 3 or w = 1

∣ 3 - 6 w ∣ = 39

- 6 y + 4 = ∣ 4 y + 12 ∣

2 ∣ - 8 w + 6 ∣ = 76

2 ∣ z + 1 ∣ - 3 = z - 2

∣ 2 x - 3 ∣ + 1 = 8