\(x+\frac{16}{9}=\frac{x}{7}\)
\(\frac{16}{9}=\frac{x}{7}-\frac{x}{1}\)
\(\frac{16}{9}=\frac{x}{7}-\frac{7x}{7}\)
\(\frac{19}{9}=\frac{\left(-6\right)x}{7}\)
\(\frac{133}{63}=\frac{\left(-54\right)x}{63}\)
\(\Rightarrow133=\left(-54\right)x\)
\(\Rightarrow133:\left(-54\right)=x\)
\(\Rightarrow-2,4629=x\)
\(x+\frac{16}{9}=\frac{x}{7}\) = \(\frac{9x}{9}+\frac{16}{9}=\frac{x}{7}\) = \(\frac{9x+16}{9}=\frac{x}{7}\)
\(\left(9x+16\right).7=x.9\)
\(63x+112=x.9\)
\(63x-9x=-112\)
\(54x=-112\)
\(x=\left(-112\right):54\)
\(x=\frac{-56}{27}\)
