Question

solving equation that has variables on the both sides 8(x-3)(6-2x)=(x+2)-5(5-x)​

Answer 1

Step-by-step explanation:

$8 (x-3)(6-2x)=(x+2)-5(5-x)$

$\implies{8x-24×(6-2x)=(x+2)-25+5x}$

$\implies{8x(6-2x)-24(6-2x)=-25(x+2)+5x(x+2)}$

$\implies{48x-{16x}^{2}-144+48x=-25x-50+{5x}^{2}+10x}$

$\implies{{16x}^{2}+96x-144={5x}^{2}-15x-50}$

$\implies{{16x}^{2}-{5x}^{2}+96x+15x=-50+144}$

$\implies{{11x}^{2}+111x=94}$

$\implies{\boxed{{11x}^{2}+111x-94=0}}$

Hence verified