What is the answer to |2x+1|=|-3x+1| ?

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

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|2x+1|=|-3x+1|

∣ 2 x + 1 ∣ = ∣ - 3 x + 1 ∣

x = 0 or x = 2

Solution steps

∣ 2 x + 1 ∣ = ∣ - 3 x + 1 ∣

Find positive and negative intervals

x < - \frac{1}{2}, - \frac{1}{2} \leq x \leq \frac{1}{3}, x > \frac{1}{3}

Solve the inequality for each interval

No Solution or x = 0 or x = 2

x = 0 or x = 2

5 (x + 3)^{2} - 5 y^{2}

27 x^{2} - 729 = 0

\frac{3}{10} - \frac{1}{4}

0 < x < 10

\frac{2}{3} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x

What is the answer to |2x+1|=|-3x+1| ?
The answer to |2x+1|=|-3x+1| is x=0\lor x=2
Solve for x: |2x+1|=|-3x+1|
The solution is x=0\lor x=2