What is the answer to |2x-1|-4=3x+7 ?

The answer to |2x-1|-4=3x+7 is x=-2

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|2x-1|-4=3x+7

∣ 2 x - 1 ∣ - 4 = 3 x + 7

x = - 2

Solution steps

∣ 2 x - 1 ∣ - 4 = 3 x + 7

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 2 or No Solution

x = - 2

∣ x + 4 ∣ = 3 x - 8

∣ 9 - 2 x ∣ = 3 x + 10

\frac{p}{2} + 7 = 11

∣ 4 x + 3 ∣ - 3 = 0

∣ x + 12 ∣ = 9