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

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

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|2x-3|=6x-9

∣ 2 x - 3 ∣ = 6 x - 9

x = \frac{3}{2}

Decimal Notation

x = 1.5

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 = \frac{3}{2}

x = \frac{3}{2}

∣ - 4 z + 6 ∣ + 5 = 3

∣ - 5 x + 11 ∣ + 7 x + 4 = 0

∣ x ∣ = \frac{7}{2}

∣ 6 x - 15 ∣ = 3 x - 21

3 ∣ k ∣ - 5 = - 44