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

The answer to |x-3|=|2x+3| is x=-6\lor x=0

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

∣ x - 3 ∣ = ∣ 2 x + 3 ∣

x = - 6 or x = 0

Solution steps

∣ x - 3 ∣ = ∣ 2 x + 3 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 6 or x = 0 or No Solution

x = - 6 or x = 0

12 x^{2} - 7 x + 1

3 (\frac{5}{7})

3 (4 - x) - (2 x + 1) \geq 5 x + 1

2 x - 6.4 x = 0

2 a^{5} b^{3} - 4 a^{2} b + 30 a b^{2}