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siniylev [52]
3 years ago
11

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

Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

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! :D

~\sf{TheAnimeGirl}

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