Question

6x-1/15-2x-4/7x-16=2x-1/5 then x =​

Answer 1

Question:-

$\frac{6x + 1}{15} - \frac{2x - 4}{7x - 16} = \frac{2x - 1}{5}$

Answer:-

$\frac{6x + 1}{15} - \frac{2x - 4}{7x - 16} = \frac{2x - 1}{5} \\ \\ = > \frac{(6x + 1)(7x - 16) - (2x - 4)15}{15(7x - 16)} = \frac{2x - 1}{5} \\ \\ = > \frac{(42x {}^{2} - 96x + 7x - 16) - (30x - 60) }{3(7x - 6)} = 2x - 1 \\ \\ = > \frac{(42x {}^{2} - 89x - 16) - (30x - 60)}{21x - 48} = 2x - 1 \\ \\ = > 42x {}^{2} - 89x - 16 - 30x + 60 = (2x - 1)(21x - 48) \\ \\ = > 42 {}^{2} - 119x + 44 = 42 {}^{2} - 96x - 21x + 48 \\ \\ = > - 119x + 44 = - 117x + 48 \\ \\ = > 119x - 117x = 44 - 48 \\ \\ = > 2x = - 4 \\ \\ = > x = \frac{ - 4}{2} \\ \\ = > x = - 2(answer)$