What is the answer to |x-4|=6x+11 ?

The answer to |x-4|=6x+11 is x=-1

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|x-4|=6x+11

∣ x - 4 ∣ = 6 x + 11

x = - 1

Solution steps

∣ x - 4 ∣ = 6 x + 11

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = - 1 or No Solution

x = - 1

∣ 5 x + 4 ∣ = - 3

∣ x - 3 ∣ = 2 x - 10

3 ∣ 4 x - 5 ∣ - 2 = 19

∣ 2 x - 5 ∣ = 4

5 = \frac{t}{4}