What is the answer to 5|3-x|=20 ?

The answer to 5|3-x|=20 is x=-1\lor x=7

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5|3-x|=20

5 ∣ 3 - x ∣ = 20

x = - 1 or x = 7

Solution steps

5 ∣ 3 - x ∣ = 20

Divide both sides by

5

∣ 3 - x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - x = - 4 or 3 - x = 4

3 - x = - 4 or 3 - x = 4

x = - 1 or x = 7

- 1 ∣ 8 x - 6 ∣ = 0

∣ 2 x - 2 ∣ - 9 = - 4

y, 2 ∣ 3 x + 4 y - 2 ∣ + 3 25 - 5 x + 2 y = 0

4 ∣ x + 9 ∣ + 5 = 33

y^{2} - 10 ∣ y ∣ + 24 = 0