x-1/5 - x/3 = 1 - x-2/2
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[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER:}}}\mid}}[/tex]
[tex] \: \ \large \green{ \bold { \underline{ \underline{step \: by \: step \: explaination}}}}[/tex]
[tex] \: \\ \hspace{3em} \implies \displaystyle \sf{x - \frac{1}{5} - \frac{x}{3} = 1 - x - \frac{2}{2} }[/tex]
[tex] \: \\ \hspace{3em} \implies \displaystyle \sf{x - \frac{1}{5} - \frac{x}{3} = 1 - x - 1}[/tex]
[tex] \: \hspace{3em} \implies \displaystyle \sf \: x - \frac{1}{5} - \frac{x}{3} = - x[/tex]
[tex] \: \hspace{3em} \implies \displaystyle \sf{ \frac{5x - 1}{5} - \frac{x}{3} = - x}[/tex]
[tex] \: \: \\ \hspace{3em} \implies \displaystyle \sf{ \frac{3(5x - 1) - 5x}{15} = - x}[/tex]
[tex] \: \: \hspace{3em} \implies \displaystyle \sf{ \frac{15x - 3 - 5x}{15} = - x}[/tex]
[tex] \: \: \hspace{3em} \implies \displaystyle \sf{ 10x - 3 = - 15x}[/tex]
[tex] \: \hspace{3em} \implies \displaystyle \sf{10x - 3 + 15x = 0}[/tex]
[tex] \: \: \hspace{ 3em} \implies \displaystyle \sf{25x = 3}[/tex]
[tex] \: \: \hspace{3em} \implies \displaystyle \sf{x = \frac{3}{25}} [/tex]
[tex] \: \: \boxed{ \boxed{ \boxed{ \underline { \underline{ \pink{ \bf{the \: answer \: will \: be \: \frac{3}{25}}}}}}}} [/tex]