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

The answer to |2x-3|=|3x+5| is x=-8\lor x=-2/5

Solve for x: |2x-3|=|3x+5|

The solution is x=-8\lor x=-2/5

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∣ 2 x - 3 ∣ = ∣ 3 x + 5 ∣

x = - 8 or x = - \frac{2}{5}

Solution steps

∣ 2 x - 3 ∣ = ∣ 3 x + 5 ∣

Find positive and negative intervals

x < - \frac{5}{3}, - \frac{5}{3} \leq x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x = - 8 or x = - \frac{2}{5} or No Solution

x = - 8 or x = - \frac{2}{5}

2 ∣ x + 1 ∣^{2} - ∣ x + 1 ∣ = 3

∣ x + 2 ∣ + ∣ x - 3 ∣ + 2 = 0

∣ x - 3 ∣ + 2 ∣ x + 1 ∣ = 4

2 \cdot (∣ x + 1 ∣^{2}) - ∣ x + 1 ∣ = 3

x^{2} - 4 x = 5

What is the answer to |2x-3|=|3x+5| ?
The answer to |2x-3|=|3x+5| is x=-8\lor x=-2/5
Solve for x: |2x-3|=|3x+5|
The solution is x=-8\lor x=-2/5