What is the answer to |3a+7|=|4a-7| ?

The answer to |3a+7|=|4a-7| is a=0\lor a=14

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|3a+7|=|4a-7|

∣ 3 a + 7 ∣ = ∣ 4 a - 7 ∣

a = 0 or a = 14

Solution steps

∣ 3 a + 7 ∣ = ∣ 4 a - 7 ∣

Find positive and negative intervals

a < - \frac{7}{3}, - \frac{7}{3} \leq a < \frac{7}{4}, a \geq \frac{7}{4}

Solve the inequality for each interval

No Solution or a = 0 or a = 14

a = 0 or a = 14

- 2 (x + 6) = - 36

3 m^{5} n - 48 mn

- \frac{1}{3} \cdot 6

x^{2} y - x^{2}

64 - 25 x^{2}

What is the answer to |3a+7|=|4a-7| ?
The answer to |3a+7|=|4a-7| is a=0\lor a=14
Solve for a: |3a+7|=|4a-7|
The solution is a=0\lor a=14