What is the answer to |2x+5|+4x=3 ?

The answer to |2x+5|+4x=3 is x=-1/3

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|2x+5|+4x=3

∣ 2 x + 5 ∣ + 4 x = 3

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

∣ 2 x + 5 ∣ + 4 x = 3

Find positive and negative intervals

x < - \frac{5}{2}, x \geq - \frac{5}{2}

Solve the inequality for each interval

No Solution or x = - \frac{1}{3}

x = - \frac{1}{3}

∣ 4 x - 5 ∣ = 5 x - 4

2 ∣ x + 5 ∣ = - 4

5 - 7 ∣ 5 - x ∣ = - 44

6 + 7 ∣ 3 p - 3 ∣ = 69

2 + ∣ - 1 + 10 b ∣ = 2