What is the answer to 3x-6=|2x+5|-1 ?

The answer to 3x-6=|2x+5|-1 is x=10

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3x-6=|2x+5|-1

3 x - 6 = ∣ 2 x + 5 ∣ - 1

x = 10

Solution steps

3 x - 6 = ∣ 2 x + 5 ∣ - 1

Find positive and negative intervals

x < - \frac{5}{2}, x \geq - \frac{5}{2}

Solve the inequality for each interval

No Solution or x = 10

x = 10

∣ 7 x + 4 ∣ = - 32

∣ x - 7 ∣ = 84

∣ 5 d ∣ = 15

∣ 3 + c ∣ + 2 = 12

∣ 4 x - 12 ∣ + 8 = 0