What is the answer to |2x+5|+3x=0 ?

The answer to |2x+5|+3x=0 is x=-1

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|2x+5|+3x=0

∣ 2 x + 5 ∣ + 3 x = 0

x = - 1

Solution steps

∣ 2 x + 5 ∣ + 3 x = 0

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

∣ 11 x + 2 ∣ = x - 1

\frac{2}{3} x - 6 = 12

x^{3} = - 1

3 ∣ 2 x - 4 ∣ = 18

∣ 9 n + 2 ∣ + 10 = 3