What is the answer to |2x-1|=3x+4 ?

The answer to |2x-1|=3x+4 is x=-3/5

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|2x-1|=3x+4

∣ 2 x - 1 ∣ = 3 x + 4

x = - \frac{3}{5}

Decimal Notation

x = - 0.6

Solution steps

∣ 2 x - 1 ∣ = 3 x + 4

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{3}{5} or No Solution

x = - \frac{3}{5}

∣ 2 x - 1 ∣ = 3 x + 2

30 = [∣ 10 + 4 b ∣]

∣ 6 x - 1 ∣ = 49

∣ x ∣ = - 3 x + 1

∣ w - 5 ∣ + 9 = 22