What is the answer to 3|x-3|=-4x+6 ?

The answer to 3|x-3|=-4x+6 is x=-3

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3|x-3|=-4x+6

3 ∣ x - 3 ∣ = - 4 x + 6

x = - 3

Solution steps

3 ∣ x - 3 ∣ = - 4 x + 6

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - 3 or No Solution

x = - 3

∣ 2 x - 5 ∣ = 3 x + 4

1 = ∣ x ∣

∣ 3 y - 7 ∣ - 10 = - 5

∣ 2 b + 4 ∣ - 6 = 14

∣ 9 - 5 n ∣ = 14