What is the answer to 5|x+6|=15x-10 ?

The answer to 5|x+6|=15x-10 is x=4

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5|x+6|=15x-10

5 ∣ x + 6 ∣ = 15 x - 10

x = 4

Solution steps

5 ∣ x + 6 ∣ = 15 x - 10

Find positive and negative intervals

x < - 6, x \geq - 6

Solve the inequality for each interval

No Solution or x = 4

x = 4

- 5 ∣ 5 x + 3 ∣ + 28 = 18

∣ x + π ∣ = x^{2} + 1

∣ 5 - 3 x ∣ + 2 = 19

∣ 6 p ∣ = 0

- 5 ∣ m + 1 ∣ + 8 = 3