Answer: x=-18
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex] \huge{ \fbox{ \sf{x = - 18}}}[/tex]
Step-by-step explanation:
[tex] \text{4(7x + 3) = - 3(2 - 9x)}[/tex]
[tex] \text{Step \: 1 \: : Distribute \: 4 \: through \: the \: parentheses}[/tex]
[tex] \hookrightarrow{ \sf{28x + 12 = - 3(2 - 9x)}}[/tex]
[tex] \text{Step \: 2 \: : Distribute \: - 3 \: through \: the \: parentheses}[/tex]
[tex]\hookrightarrow{ \sf{28x + 12 = - 6 + 27x}}[/tex]
[tex] \text{Step \: 3 \: : Move \: 27x \: to \: left \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \hookrightarrow{ \sf{28x - 27x + 12 = - 6}}[/tex]
[tex] \text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \hookrightarrow{ \sf{28x - 27x = - 6 - 12}}[/tex]
[tex] \text{step \: 5 \: : Collect \: like \: terms}[/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \hookrightarrow{ \sf{x = - 6 - 12}}[/tex]
[tex] \text{step \: 6 \: : Calculate}[/tex]
[tex] \text{ \underline{ Remember!}} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]
[tex] \hookrightarrow{ \boxed{ \sf{x = - 18}}}[/tex]
Hope I helped!
Best wishes ! :D
~[tex] \text{TheAnimeGirl}[/tex]
