What is the answer to |3a+8|=|3a-4| ?

The answer to |3a+8|=|3a-4| is a=-2/3

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|3a+8|=|3a-4|

∣ 3 a + 8 ∣ = ∣ 3 a - 4 ∣

a = - \frac{2}{3}

Solution steps

∣ 3 a + 8 ∣ = ∣ 3 a - 4 ∣

Find positive and negative intervals

a < - \frac{8}{3}, - \frac{8}{3} \leq a < \frac{4}{3}, a \geq \frac{4}{3}

Solve the inequality for each interval

No Solution or a = - \frac{2}{3}

a = - \frac{2}{3}

2 \leq x^{2} - 9 < 9

2 a^{2} + 9 a - 18

\frac{m}{2} < 2

(\frac{1}{3})^{- \frac{2}{5}} \cdot 9 6^{- \frac{2}{5}}

- 6 x - 2 > 10