Question

(3x+1)/16 - (x+3)/8 = (3x-1)/14 -(2x-3)/7​

Answer 1

Answer:

The solution is x=5

Step-by-step explanation:

$\frac{3x+1}{16} -\frac{x+3}{8} = \frac{3x-1}{14}-\frac{2x-3}{7​}$

$\implies\:\frac{(3x+1)-2(x+3)}{16}= \frac{(3x-1)-2(2x-3)}{14}$

$\implies\:\frac{3x+1-2x-6}{16}= \frac{3x-1-4x+6}{14}$

$\implies\:\frac{x-5}{8}= \frac{-x+5}{7}$

$\implies\:\frac{x-5}{8}= \frac{-(x-5)}{7}$

$\implies\:7(x-5)= -8(x-5)$

$\implies\:7(x-5)+8(x-5)=0$

$\implies\:15(x-5)=0$

$\implies\:x-5=0$

$\implies\:x=5$