What is the answer to (8)|2x-3|=|3x+5| ?

The answer to (8)|2x-3|=|3x+5| is x=1\lor x= 29/13

Solve for x: (8)|2x-3|=|3x+5|

The solution is x=1\lor x= 29/13

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(8) ∣ 2 x - 3 ∣ = ∣ 3 x + 5 ∣

x = 1 or x = \frac{29}{13}

Decimal Notation

x = 1, x = 2.23076 \dots

Solution steps

8 ∣ 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

No Solution or x = 1 or x = \frac{29}{13}

x = 1 or x = \frac{29}{13}

∣ 4 x - 1 ∣ + ∣ 4 x + 5 ∣ = 1

∣ 10 - 3 x ∣ = ∣ 5 - 2 x ∣

∣ x ∣ + 2 ∣ x + 1 ∣ - 3 ∣ x - 2 ∣ = 4

∣ 9 + x ∣ = 2

∣ x - 1 ∣ x^{2} - 2 = 2

What is the answer to (8)|2x-3|=|3x+5| ?
The answer to (8)|2x-3|=|3x+5| is x=1\lor x= 29/13
Solve for x: (8)|2x-3|=|3x+5|
The solution is x=1\lor x= 29/13