\(\displaystyle \frac{2x-1}{7x-7}-\frac{3 \cdot x-2}{3,5 \cdot x+3,5}=\frac{4 \cdot\left(11,75-8x+x^{2}\right)}{7-7 \cdot x^{2}} \)
\(\displaystyle \frac{(2x-1)(3,5x+3,5)}{(7x-7)(3,5x+3,5)}-\frac{(3x-2)(7x-7)}{(3,5x+3,5)(7x-7)}=\frac{4 \cdot\left(11,75-8x+x^{2}\right)}{7-7x^{2}} \)
\(\displaystyle \frac{(2x-1)(3,5x+3,5)-(3x-2)(7x-7)}{(7x-7)(3,5x+3,5)}=\frac{4 \cdot\left(11,75-8x+x^{2}\right)}{7-7x^{2}} \)
\(\displaystyle \frac{(7x^{2}+3,5x-3,5)-(21x^{2} -35x +14)}{24,5x^{2} -24,5}=\frac{47-32x+4x^{2}}{7-7x^{2}} \)
\(\displaystyle \frac{-14x^{2}+38,5x-17,5}{24,5x^{2} -24,5}=\frac{47-32x+4x^{2}}{7-7x^{2}} \)
\(\displaystyle \frac{-14x^{2}+38,5x-17,5}{24,5x^{2} -24,5}=\frac{-3,5\cdot(47-32x+4x^{2})}{-3,5\cdot(7-7x^{2})} \)
\(\displaystyle \frac{-14x^{2}+38,5x-17,5}{24,5x^{2} -24,5}=\frac{-3,5\cdot(47-32x+4x^{2})}{24,5x^{2} -24,5} \)
\(\displaystyle -14x^{2}+38,5x-17,5=-3,5\cdot(47-32x+4x^{2}) \)
\(\displaystyle -14x^{2}+38,5x-17,5=-14x^{2} +112x-164,5 \)
\(\displaystyle 38,5x-17,5= 112x-164,5 \)