What is the answer to -5=-|t+3|+5 ?

The answer to -5=-|t+3|+5 is t=-13\lor t=7

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-5=-|t+3|+5

- 5 = - ∣ t + 3 ∣ + 5

t = - 13 or t = 7

Solution steps

- 5 = - ∣ t + 3 ∣ + 5

Move

∣ t + 3 ∣

to the left side

- 5 + ∣ t + 3 ∣ = 5

Move

5

to the right side

∣ t + 3 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

t + 3 = - 10 or t + 3 = 10

t + 3 = - 10 or t + 3 = 10

t = - 13 or t = 7

6 x^{2} - x - 3 = - 3

∣ 2 x - 8 ∣ - 9 = - 5

∣ 4 x - 17 ∣ - 11 = - 3

- 5 ∣ c - 6 ∣ = 20

∣ 2 x + 16 ∣ = x + 4