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

Question

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

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Nguyệt Ánh 5 months 2021-08-19T19:23:29+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-19T19:25:05+00:00

    Answer:

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

    Step-by-step 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}

     \underline{ \text{Remember!}} :  \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}

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

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

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

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

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

    Hope I helped!

    Best regards! 😀

    ~ \sf{TheAnimeGirl}

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