What is the answer to |-2x-1|-3=3x+16 ?

The answer to |-2x-1|-3=3x+16 is x=-4

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|-2x-1|-3=3x+16

∣ - 2 x - 1 ∣ - 3 = 3 x + 16

x = - 4

Solution steps

∣ - 2 x - 1 ∣ - 3 = 3 x + 16

Find positive and negative intervals

x \leq - \frac{1}{2}, x > - \frac{1}{2}

Solve the inequality for each interval

x = - 4 or No Solution

x = - 4

∣ x - 2 ∣ = 10 - 3 x

∣ x - 2 ∣ - 8 = - 7

∣ 4 x + 2 ∣ - 6 = 24

2 ∣ 2 x + 7 ∣ = 2 x - 8

∣ x + 7.5 ∣ = 3