What is the answer to |t-4|=7t+12 ?

The answer to |t-4|=7t+12 is t=-1

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|t-4|=7t+12

∣ t - 4 ∣ = 7 t + 12

t = - 1

Solution steps

∣ t - 4 ∣ = 7 t + 12

Find positive and negative intervals

t < 4, t \geq 4

Solve the inequality for each interval

t = - 1 or No Solution

t = - 1

∣ v ∣ = 3

∣ v ∣ = 5

x + 1 = x^{2} - 2 x - 3

2 ∣ x - 8 ∣ = 18

∣ 3 - 5 x ∣ = 22