Given equation,
[tex] \\ \dashrightarrow \sf \qquad-38x+43=-40x-57 \\ \\ [/tex]
Adding 40x to both sides :
[tex] \\ { \dashrightarrow \sf \qquad-38x+43 + 40x=-40x-57 + 40x} \\ \\ [/tex]
[tex] { \dashrightarrow \sf \qquad2x+43=-57} \\ \\ [/tex]
Adding (-43) to both sides we get :
[tex] \\ { \dashrightarrow \sf \qquad2x+43 + ( - 43)=-57 + (- 43)} \\ \\ [/tex]
[tex] { \dashrightarrow \sf \qquad2x= - 100} \\ \\ [/tex]
Dividing 2 from both sides :
[tex] \\ { \dashrightarrow \sf \qquad \frac{2x}{2} = - \frac{100}{2} } \\ \\ [/tex]
[tex] { \dashrightarrow \tt \qquad \: x=-50} \\ \\ [/tex]
