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

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

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|3x|=5x+4

∣ 3 x ∣ = 5 x + 4

x = - \frac{1}{2}

Solution steps

∣ 3 x ∣ = 5 x + 4

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

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

x = - \frac{1}{2}

x^{2} - x - 1 = 1

∣ 6 r - 9 ∣ = 27

∣ 3 - x ∣ + x = 4

∣ 3 x - 5 ∣ = x + 1

∣ k + 6 ∣ = 9