What is the answer to 5|x-2|+15x=5x-20 ?

The answer to 5|x-2|+15x=5x-20 is x=-6

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5|x-2|+15x=5x-20

5 ∣ x - 2 ∣ + 15 x = 5 x - 20

x = - 6

Solution steps

5 ∣ x - 2 ∣ + 15 x = 5 x - 20

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - 6 or No Solution

x = - 6

∣ 3 y - 14 ∣ = 1717

∣ 3 x + 8 ∣ + 7 = 12

5 ∣ x - 7 ∣ = 50

∣ 6 x - 9 ∣ = 3

∣ n ∣ - 7 = - 7