Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 8(4 + 3x) = - 200}[/tex]
Distribute -8 through the parentheses
[tex] \longrightarrow{ \sf{ - 32 - 24x = - 200}}[/tex]
Move 32 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 24x = - 200 + 32}}[/tex]
The negative and positive integers are always subtracted but posses the sign of bigger integer
[tex] \longrightarrow{ \sf{ - 24x = - 168}}[/tex]
Divide both sides by -24
[tex] \longrightarrow{ \sf{ \frac{ - 24x}{ - 24} = \frac{ - 168}{ - 24}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{x = 7}}[/tex]
Hope I helped !
Best regards! :D