Answer :
[tex] \frac{7}{1}x- \frac{2}{5}+ \frac{4}{5}x= \frac{9}{10}
[/tex]
[tex] \frac{5}{5} [/tex] *[tex] \frac{7}{1}= \frac{35}{5} [/tex]
[tex] \frac{35}{5}x-\frac{2}{5} + \frac{4}{5} x= \frac{9}{10} [/tex]
~Combine like terms
[tex] \frac{39}{5}x- \frac{2}{5} = \frac{9}{10} [/tex]
~Find common denominator of 2/5 and 9/10 then, add [tex] \frac{2}{5} [/tex] to both sides
[tex] \frac{39}{5}x= \frac{9}{10}+ \frac{4}{10}[/tex]
~Combine like terms
[tex] \frac{39}{5}x= \frac{13}{10} [/tex]
~Multiply by the reciprocal of [tex] \frac{39}{5} [/tex] on both sides
[tex] \frac{5}{39}* \frac{39}{5}x= \frac{13}{10}* \frac{5}{39} [/tex]
~The left side cancels
~39 divided by 13 on the right side can be simplified to 3, and 10 divided by 5 can be simplified to 2
[tex]x= \frac{1}{2}* \frac{1}{3} [/tex]
[tex]x= \frac{1}{6} [/tex]
[tex] \frac{5}{5} [/tex] *[tex] \frac{7}{1}= \frac{35}{5} [/tex]
[tex] \frac{35}{5}x-\frac{2}{5} + \frac{4}{5} x= \frac{9}{10} [/tex]
~Combine like terms
[tex] \frac{39}{5}x- \frac{2}{5} = \frac{9}{10} [/tex]
~Find common denominator of 2/5 and 9/10 then, add [tex] \frac{2}{5} [/tex] to both sides
[tex] \frac{39}{5}x= \frac{9}{10}+ \frac{4}{10}[/tex]
~Combine like terms
[tex] \frac{39}{5}x= \frac{13}{10} [/tex]
~Multiply by the reciprocal of [tex] \frac{39}{5} [/tex] on both sides
[tex] \frac{5}{39}* \frac{39}{5}x= \frac{13}{10}* \frac{5}{39} [/tex]
~The left side cancels
~39 divided by 13 on the right side can be simplified to 3, and 10 divided by 5 can be simplified to 2
[tex]x= \frac{1}{2}* \frac{1}{3} [/tex]
[tex]x= \frac{1}{6} [/tex]