Answer:
[tex] \huge{ \fbox{ \tt{x = - 2}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \underline{ \mathfrak{Let's \: solve}}} : [/tex]
[tex] \star{ \sf{ \: \: 4x - 8 = 7x - 2}}[/tex]
[tex] \text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \mapsto{ \sf{4x - 7x - 8 = - 2}}[/tex]
[tex] \text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \mapsto{ \sf{4x - 7x = - 2 + 8}}[/tex]
[tex] \text{Step \: 3} : \sf{Collect \: like \: terms}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: same \: base}[/tex]
[tex] \mapsto{ \sf{ - 3x = - 2 + 8}}[/tex]
[tex] \text{Step \: 4} : \sf{Calculate}[/tex]
[tex] \underline{ \text{Remember!}} : \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}[/tex]
[tex] \mapsto{ \sf{ - 3x = 6}}[/tex]
[tex] \text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}[/tex]
[tex] \mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{6}{ - 3}}} [/tex]
[tex] \text{ Step \: 4} : \sf{Calculate}[/tex]
[tex] \mapsto{ \sf{x = - 2}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
