What is the answer to |2a+7|=|3a-5| ?

The answer to |2a+7|=|3a-5| is a=-2/5 \lor a=12

Solve for a: |2a+7|=|3a-5|

The solution is a=-2/5 \lor a=12

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∣ 2 a + 7 ∣ = ∣ 3 a - 5 ∣

a = - \frac{2}{5} or a = 12

Solution steps

∣ 2 a + 7 ∣ = ∣ 3 a - 5 ∣

Find positive and negative intervals

a < - \frac{7}{2}, - \frac{7}{2} \leq a < \frac{5}{3}, a \geq \frac{5}{3}

Solve the inequality for each interval

No Solution or a = - \frac{2}{5} or a = 12

a = - \frac{2}{5} or a = 12

3 k > k + 8

25 x^{2} + 4 = 0

∣ x + 8 ∣ \geq - 8

(i - 2)^{3} - (i - 2)

∣ 6 - 3 x ∣ \geq 12

What is the answer to |2a+7|=|3a-5| ?
The answer to |2a+7|=|3a-5| is a=-2/5 \lor a=12
Solve for a: |2a+7|=|3a-5|
The solution is a=-2/5 \lor a=12