What is the answer to 4|3t+8|=16t ?

The answer to 4|3t+8|=16t is t=8

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4|3t+8|=16t

4 ∣ 3 t + 8 ∣ = 16 t

t = 8

Solution steps

4 ∣ 3 t + 8 ∣ = 16 t

Find positive and negative intervals

t < - \frac{8}{3}, t \geq - \frac{8}{3}

Solve the inequality for each interval

No Solution or t = 8

t = 8

∣ 4 f + 1 ∣ - 2 = 5

∣ 3 - 2 x ∣ + x = 4

∣ - 4 + 12 x ∣ = 7

3 ∣ 4 x - 9 ∣ = 12

- 2 ∣ 2 x + 6 ∣ = - 8