Question

7 x - 2/5 + 4/5 x= 9/10

Answer 1

X= 2/7 that is the answer for this equation!

Answer 2

$\frac{7}{1}x- \frac{2}{5}+ \frac{4}{5}x= \frac{9}{10}$

$\frac{5}{5}$ *$\frac{7}{1}= \frac{35}{5}$
$\frac{35}{5}x-\frac{2}{5} + \frac{4}{5} x= \frac{9}{10}$

~Combine like terms

$\frac{39}{5}x- \frac{2}{5} = \frac{9}{10}$

~Find common denominator of 2/5 and 9/10 then, add $\frac{2}{5}$ to both sides

$\frac{39}{5}x= \frac{9}{10}+ \frac{4}{10}$

~Combine like terms

$\frac{39}{5}x= \frac{13}{10}$

~Multiply by the reciprocal of $\frac{39}{5}$ on both sides

$\frac{5}{39}* \frac{39}{5}x= \frac{13}{10}* \frac{5}{39}$

~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

$x= \frac{1}{2}* \frac{1}{3}$

$x= \frac{1}{6}$