What is the answer to |2a+5|=|3a-9| ?

The answer to |2a+5|=|3a-9| is a= 4/5 \lor a=14

Solve for a: |2a+5|=|3a-9|

The solution is a= 4/5 \lor a=14

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∣ 2 a + 5 ∣ = ∣ 3 a - 9 ∣

a = \frac{4}{5} or a = 14

Solution steps

∣ 2 a + 5 ∣ = ∣ 3 a - 9 ∣

Find positive and negative intervals

a < - \frac{5}{2}, - \frac{5}{2} \leq a < 3, a \geq 3

Solve the inequality for each interval

No Solution or a = \frac{4}{5} or a = 14

a = \frac{4}{5} or a = 14

- 8 = 32 - 5 q

\frac{a}{12} = \frac{2}{3}

5 c^{2} - 6 c - 8 = 0

\frac{4 n + 7 - 5 n}{2} \geq 11

∣ 8 x - 1 ∣ \leq 2

What is the answer to |2a+5|=|3a-9| ?
The answer to |2a+5|=|3a-9| is a= 4/5 \lor a=14
Solve for a: |2a+5|=|3a-9|
The solution is a= 4/5 \lor a=14