Find the value of $x$ #1

$\large 7x - \frac{13}{18} = \frac{15}{18}$

$\large 7x = \frac{15 + 13}{18}$

$\large 7x = \frac{28}{18}$

$\large \frac{7x}{7} = \frac{28}{18 × 7}$

$\large x = \frac{28}{126}$

$\large \boxed{x = \frac{2}{9}}$

$7x -$ $\frac{13}{18}$ $=$ $\frac{15}{18}$

$7x =$ $\frac{28}{18}$

$7x =$ $\frac{14}{9}$

$x =$ $\frac{14}{9}$ $\times$ $\frac{1}{7}$ $=$ $\frac{14}{63}$ $=$ $\frac{2}{9}$ $= 0.\overline{2}$

7x- $\frac{13}{18}$ = $\frac{15}{18}$

7x= $\frac{13+15}{18}$

x= $\frac{28}{18}$ × $\frac{1}{7}$

x= $\frac{4}{18}$

x= $\frac{2}{9}$ =0.2222222...