What is the answer to 20=|-2w| ?

The answer to 20=|-2w| is w=-10\lor w=10

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20=|-2w|

20 = ∣ - 2 w ∣

w = - 10 or w = 10

Solution steps

20 = ∣ - 2 w ∣

Switch sides

∣ - 2 w ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 w = - 20 or - 2 w = 20

- 2 w = - 20 or - 2 w = 20

w = - 10 or w = 10

∣ x - 4 ∣ = 3 x - 6

4 ∣ 8 x ∣ + 5 = 25

∣ 5 x - 24 ∣ = x

∣ x - 4 ∣ = - \frac{7}{3}

∣ - x ∣ = 3.5