What is the answer to |2x-3|=4x-6 ?

The answer to |2x-3|=4x-6 is x= 3/2

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|2x-3|=4x-6

∣ 2 x - 3 ∣ = 4 x - 6

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

∣ 2 x - 3 ∣ = 4 x - 6

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}

∣ 9 - a ∣ + 9 = 10

∣ - 5 x - 15 ∣ = 35

\frac{a}{b} - 3 ∣ a x ∣ = a

8 = ∣ y + 5 ∣

∣ 1 - 6 x ∣ = 6