What is the answer to |x-12|=5x+24 ?

The answer to |x-12|=5x+24 is x=-2

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|x-12|=5x+24

∣ x - 12 ∣ = 5 x + 24

x = - 2

Solution steps

∣ x - 12 ∣ = 5 x + 24

Find positive and negative intervals

x < 12, x \geq 12

Solve the inequality for each interval

x = - 2 or No Solution

x = - 2

1 - ∣ x ∣ = 5

6 - 3 ∣ - 4 x - 4 ∣ = 33

3 ∣ x ∣ - 5 = - 2 x - 7

4 ∣ x + 7 ∣ - 10 = 14

∣ a + 1 ∣ - 7 = - 5