What is the answer to |2x-1|=3x+7 ?

The answer to |2x-1|=3x+7 is x=-6/5

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|2x-1|=3x+7

∣ 2 x - 1 ∣ = 3 x + 7

x = - \frac{6}{5}

Solution steps

∣ 2 x - 1 ∣ = 3 x + 7

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{6}{5} or No Solution

x = - \frac{6}{5}

∣ 2 x - 1 ∣ = 3 x + 4

∣ 2 x - 1 ∣ = 3 x + 2

30 = [∣ 10 + 4 b ∣]

∣ 6 x - 1 ∣ = 49

∣ x ∣ = - 3 x + 1