Question

$\frac{2x - 1}{ x + 4} - \frac{2x - 5}{x + 3} = 0$
Please solve this who will solve the correct answer I will mark him or her answer as brainliest answer​

Answer 1

${ \huge{ \boxed{\green{ \mathscr{Solution}}}}}$

${ \huge{ \red{ \frac{2x - 1}{x + 4} - \frac{2x - 5}{x + 3} = 0}}}$

$\frac{(2x - 1)(x + 3) - (2x - 5)(x + 4)}{(x + 4)(x + 3)} = 0 \\ \\ \\ \\ \frac{(2 {x}^{2} + 6x - x - 3 )- (2 {x}^{2} + 8x - 5x - 20) }{ {x}^{2} + 3x + 4x + 12 } = 0 \\ \\ \\ \\ \frac{{ \cancel{2 {x}^{2} }} + 5x - 3 \: \: { \cancel{- 2 {x}^{2} }} - 3x + 20}{ {x}^{2} + 7x + 12 } = 0 \\ \\ \\ \\ 2x + 17 = 0 \\ \\ \\ \\ \\ 2x = - 17 \\ \\ \\ \\ \\ { \huge{ \blue{ \boxed{ \red{x = \frac{ - 17}{2} }}}}}$