What is the answer to |6x+3|=|-6x+3| ?

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

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|6x+3|=|-6x+3|

∣ 6 x + 3 ∣ = ∣ - 6 x + 3 ∣

x = 0

Solution steps

∣ 6 x + 3 ∣ = ∣ - 6 x + 3 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 0

x = 0

2 ∣ 6 x - 3 ∣ - 9 = 4 x + 21

x^{2} - 6 x - 2 = 0

∣ 3 x - 12 ∣ + 3 = 48

x^{2} + 3 x + x = 0

- 4 ∣ x - 1 ∣ + 9 = 25