What is the answer to |3a+6|=|4a-6| ?

The answer to |3a+6|=|4a-6| is a=0\lor a=12

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|3a+6|=|4a-6|

∣ 3 a + 6 ∣ = ∣ 4 a - 6 ∣

a = 0 or a = 12

Solution steps

∣ 3 a + 6 ∣ = ∣ 4 a - 6 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or a = 0 or a = 12

a = 0 or a = 12

\frac{3 x - 2}{x - 5} \leq 5

∣ 5 x ∣ > 30

11 (x - 5) = 66

x^{2} - x + 5 = 0

5 x^{2} - 12 x + 4 = 0

What is the answer to |3a+6|=|4a-6| ?
The answer to |3a+6|=|4a-6| is a=0\lor a=12
Solve for a: |3a+6|=|4a-6|
The solution is a=0\lor a=12