What is the answer to |2x+1|=4x-2 ?

The answer to |2x+1|=4x-2 is x= 3/2

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|2x+1|=4x-2

∣ 2 x + 1 ∣ = 4 x - 2

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

∣ 2 x + 1 ∣ = 4 x - 2

Find positive and negative intervals

x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

No Solution or x = \frac{3}{2}

x = \frac{3}{2}

3 ∣ x ∣ - 1 = 8

∣ 2 x - 8 ∣ - 7 = - 5

∣ 10 v + 3 ∣ = 53

4 ∣ v ∣ + 6 = 6

∣ 2 x - 3 ∣ - x = 5