What is the answer to 4|5-t|=20 ?

The answer to 4|5-t|=20 is t=0\lor t=10

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4|5-t|=20

4 ∣ 5 - t ∣ = 20

t = 0 or t = 10

Solution steps

4 ∣ 5 - t ∣ = 20

Divide both sides by

4

∣ 5 - t ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - t = - 5 or 5 - t = 5

5 - t = - 5 or 5 - t = 5

t = 0 or t = 10

- ∣ x + 4 ∣ + 2 = - 2 x + 7

∣ 2 x - 1 ∣ = ∣ x + 4 ∣

∣ 3 a + 1 ∣ - 2 = 4

∣ v - 4 ∣ + 9 = 28

\frac{5 ∣ x - 4 ∣}{8} = 10