What is the answer to |3x-9|=7x-29 ?

The answer to |3x-9|=7x-29 is x=5

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|3x-9|=7x-29

∣ 3 x - 9 ∣ = 7 x - 29

x = 5

Solution steps

∣ 3 x - 9 ∣ = 7 x - 29

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = 5

x = 5

∣ 4 - 3 x ∣ = ∣ - 4 ∣

x^{2} + 7 ∣ x ∣ + 10 = 0

∣ x - 5 ∣ = 2 ∣ x + 1 ∣

∣ x - 4 ∣ = ∣ 1 - x ∣

∣ x ∣ + ∣ x - 1 ∣ = 5