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

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

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

∣ 3 x + 1 ∣ - 4 x = - 3

x = 4

Solution steps

∣ 3 x + 1 ∣ - 4 x = - 3

Find positive and negative intervals

x < - \frac{1}{3}, x \geq - \frac{1}{3}

Solve the inequality for each interval

No Solution or x = 4

x = 4

- ∣ 2 h - 8 ∣ = - 16

∣ - 2 q ∣ + 9 = - 27

15 = ∣ v - 3 ∣

x + ∣ 1 + 2 x ∣ = 2

∣ 5 x + 90 ∣ = 10 x