Question

Solve for x: 4x - 8 = 7x - 2
Anyone know the answer for this one?
Thanks!​

Answer 1

`\huge{ \fbox{ \tt{x = - 2}}}`

Explanation:

`\underline{ \underline{ \mathfrak{Let's \: solve}}} :`

`\star{ \sf{ \: \: 4x - 8 = 7x - 2}}`

`\text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}`

`\mapsto{ \sf{4x - 7x - 8 = - 2}}`

`\text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}`

`\mapsto{ \sf{4x - 7x = - 2 + 8}}`

`\text{Step \: 3} : \sf{Collect \: like \: terms}`

`\sf{Like \: terms \: are \: those \: which \: have \: same \: base}`

`\mapsto{ \sf{ - 3x = - 2 + 8}}`

`\text{Step \: 4} : \sf{Calculate}`

`\mapsto{ \sf{ - 3x = 6}}`

`\text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}`

`\mapsto{ \sf{ ( - 3x)/( - 3) = (6)/( - 3)}}`

`\text{ Step \: 4} : \sf{Calculate}`

`\mapsto{ \sf{x = - 2}}`

Hope I helped!

Best regards! :D

~
`\sf{TheAnimeGirl}`