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

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

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|3x+5|-2x=3x+4

∣ 3 x + 5 ∣ - 2 x = 3 x + 4

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ 3 x + 5 ∣ - 2 x = 3 x + 4

Find positive and negative intervals

x < - \frac{5}{3}, x \geq - \frac{5}{3}

Solve the inequality for each interval

No Solution or x = \frac{1}{2}

x = \frac{1}{2}

x^{2} - 2 x = 2 x - 3

∣ 5 v + 10 ∣ = 15

∣ 3 x - 11 ∣ = - 5

∣ x - 3 ∣ = 4 x + 6

∣ - 2 x + 5 ∣ = 7