Question

(x-5)(x+3)=(x-7)(x+4) by linear equations ​

Answer 1

$\sf{ \underline{ \underline{Question}}}$

$\sf{Solve\: equation\:to \:find\:value\:of\:x\:?}$

$\sf{ \underline{ \underline{Answer}}}$

$\sf{-13 }$

$\sf{ \underline{ \underline{Solution}}}$

$\sf{(x-5)(x+3)\:=\:(x-7)(x+4)}$

$\sf{\ x^{2}+3x-5x-15\:=\:\ x^{2}+4x-7x-28}$

$\sf{\cancel{\ x^{2}}+3x-5x-15\:=\:\cancel{\ x^{2}}+4x-7x-28}$

$\sf{-2x-15\:=\:\ -3x-28}$

$\sf{3x-2x\:=\:-28+15}$

$\sf{x\:=\:-13 }$

$\sf{ }$

$\sf{ \underline{ \underline{So\:value\:of\:x\:is\:-13 }}}$