What is the answer to |2x+3|=6x-9 ?

The answer to |2x+3|=6x-9 is x=3

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|2x+3|=6x-9

∣ 2 x + 3 ∣ = 6 x - 9

x = 3

Solution steps

∣ 2 x + 3 ∣ = 6 x - 9

Find positive and negative intervals

x < - \frac{3}{2}, x \geq - \frac{3}{2}

Solve the inequality for each interval

No Solution or x = 3

x = 3

∣ x + 3 ∣ = 5 + x

9 ∣ 5 a - 5 ∣ - 10 = 35

∣ 2 x + x ∣ = 9

∣ x - 2 ∣ = - 2

∣ x - 2 ∣ = - 6