\(\frac{x-2}{x+6}=\frac{5}{7}\)
\(\Leftrightarrow\frac{5}{7}.\left(x+6\right)=x-2\)
\(\Leftrightarrow\frac{5}{7}x+\frac{30}{7}=x-2\)
\(\Leftrightarrow\frac{5}{7}x-x=-2-\frac{30}{7}\)
\(\Leftrightarrow-\frac{2}{7}x=-\frac{44}{7}\)
\(\Leftrightarrow x=-\frac{44}{7}:\left(-\frac{2}{7}\right)\)
\(\Leftrightarrow x=\frac{44}{7}.\frac{7}{2}=22\)
\(\frac{x-2}{x+6}=\frac{5}{7}\)
\(\Leftrightarrow7\left(x-2\right)=5\left(x+6\right)\)
\(\Rightarrow7x-14=5x+30\)
\(\Rightarrow7x-5x=14+30\)
\(\Rightarrow2x=44\)
\(\Rightarrow x=44:2=22\).
Chúc bạn học tốt ! Thanks !