$\frac{5 - a}{a} + \frac{3}{4} = \frac{7}{a}$

Answer

$a = - 8$

Explanation

\frac{5 - a}{a} + \frac{3}{4} a \cdot 4 \cdot \frac{5 - a}{a} + a \cdot 4 \cdot \frac{3}{4} - 4 a + 20 + 3 a - a + 20 - a - a a = \frac{7}{a} = a \cdot 4 \cdot \frac{7}{a} = 28 = 28 = 28 - 20 = 8 = - 8 multiply ALL terms by a \cdot 4 . cancel out the denominators simplify left side move 20 to the right switch signs on both sides

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a5−a​+43​=a7​

a=−8

$\frac{5 - a}{a} + \frac{3}{4} = \frac{7}{a}$

$a = - 8$