What is the answer to |3a+7|=|4a-5| ?

The answer to |3a+7|=|4a-5| is a=-2/7 \lor a=12

Solve for a: |3a+7|=|4a-5|

The solution is a=-2/7 \lor a=12

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∣ 3 a + 7 ∣ = ∣ 4 a - 5 ∣

a = - \frac{2}{7} or a = 12

Decimal Notation

a = - 0.28571 \dots, a = 12

Solution steps

∣ 3 a + 7 ∣ = ∣ 4 a - 5 ∣

Find positive and negative intervals

a < - \frac{7}{3}, - \frac{7}{3} \leq a < \frac{5}{4}, a \geq \frac{5}{4}

Solve the inequality for each interval

No Solution or a = - \frac{2}{7} or a = 12

a = - \frac{2}{7} or a = 12

x + 5 \leq 3

(x + 4)^{2} (x + 2) (x - 1) > 0

\frac{8 !}{1 ! ( 8 - 1 ) !}

- \frac{x}{3} > 11

\frac{a ^{3} - b ^{3}}{( a - b ) ^{2}} + \frac{3 ab}{b - a}

What is the answer to |3a+7|=|4a-5| ?
The answer to |3a+7|=|4a-5| is a=-2/7 \lor a=12
Solve for a: |3a+7|=|4a-5|
The solution is a=-2/7 \lor a=12