What is the answer to 16=|5t+4| ?

The answer to 16=|5t+4| is t=-4\lor t= 12/5

Solve for t: 16=|5t+4|

The solution is t=-4\lor t= 12/5

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16 = ∣ 5 t + 4 ∣

t = - 4 or t = \frac{12}{5}

Decimal Notation

t = - 4, t = 2.4

Solution steps

16 = ∣ 5 t + 4 ∣

Switch sides

∣ 5 t + 4 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 t + 4 = - 16 or 5 t + 4 = 16

5 t + 4 = - 16 or 5 t + 4 = 16

t = - 4 or t = \frac{12}{5}

- 4 = 4 ∣ x + 4 ∣ + 7

∣ 3 x - 5 ∣ = 10

∣ - 2 x + 6 ∣ = 6

∣ x + 6 ∣ = 4

6 ∣ - 8 + 5 x ∣ - 4 = 38