What is the answer to 15=|t+5|+6 ?

The answer to 15=|t+5|+6 is t=-14\lor t=4

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15=|t+5|+6

15 = ∣ t + 5 ∣ + 6

t = - 14 or t = 4

Solution steps

15 = ∣ t + 5 ∣ + 6

Switch sides

∣ t + 5 ∣ + 6 = 15

Move

6

to the right side

∣ t + 5 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

t + 5 = - 9 or t + 5 = 9

t + 5 = - 9 or t + 5 = 9

t = - 14 or t = 4

14 = ∣ w ∣ + 1

10 = ∣ m - 5 ∣

∣ 2 - x ∣ = 2 - (x - 1)^{(2)}

2 ∣ 7 x ∣ + 5 = 17

- 3 = - ∣ x + 7 ∣ + 5