2.6k views
5 votes
5x – 4 = x - 16
solve the equation

2 Answers

3 votes

Answer:


\huge{ \fbox{ \sf{x = -3}}}

Explanation:


\star{ \sf{ \: 5x - 4 = x - 16}}


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


\hookrightarrow{ \sf{5x - x - 4 = - 16}}


\text{Step \: 2 \: : \sf{ \: Move \: 4 \: to \: right \: hand \: side \: and \: change \: its \: sign.}}


\hookrightarrow{ \sf{ 5x - x = - 16 + 4}}


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


\hookrightarrow{ \sf{ 4x = - 16 + 4}}


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


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


\hookrightarrow{ \sf{ 4x = - 12}}


\text{Step \: 4 \: : Divide \: both \: sides \: by \: - 6}


\hookrightarrow{ \sf{ ( 4x)/( 4) = ( - 12)/( 4)}}


\text{Step \: 5 \: : Calculate}


\hookrightarrow{ \sf{x = -3}}

The value of x is -3 .

Hope I helped!

Best regards! :D

~
\sf{TheAnimeGirl}

User Suryakant Bharti
by
4.6k points
6 votes

Answer:

x = - 3

Explanation:

Given

5x - 4 = x - 16 ( subtract x from both sides )

4x - 4 = - 16 ( add 4 to both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3

User Zhuziyi
by
4.0k points