What is the answer to |2x-1|=3x+6 ?

The answer to |2x-1|=3x+6 is x=-1

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|2x-1|=3x+6

∣ 2 x - 1 ∣ = 3 x + 6

x = - 1

Solution steps

∣ 2 x - 1 ∣ = 3 x + 6

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 1 or No Solution

x = - 1

∣ 2 x - 1 ∣ = 3 x + 7

∣ 2 x - 1 ∣ = 3 x + 4

∣ 2 x - 1 ∣ = 3 x + 2

30 = [∣ 10 + 4 b ∣]

∣ 6 x - 1 ∣ = 49