\(x-\frac{3.\left(x+30\right)}{15}-24\frac{1}{2}=\frac{7x}{10}-\frac{2.\left(10x+2\right)}{5}\)
\(\Leftrightarrow\frac{x}{1}-\frac{3x+90}{15}-\frac{49}{2}=\frac{7x}{10}-\frac{20x+4}{5}\)
\(\Leftrightarrow\frac{30x}{30}-\frac{2.\left(3x+90\right)}{15.2}-\frac{49.15}{2.15}=\frac{7x.3}{10.3}-\frac{6.\left(20x+4\right)}{6.5}\)
\(\Leftrightarrow\frac{30x}{30}-\frac{6x+180}{30}-\frac{735}{30}=\frac{21x}{30}-\frac{120x+24}{30}\)
\(\Rightarrow30x-\left(6x+180\right)-735=21x-\left(120x+24\right)\)
\(\Leftrightarrow30x-6x-180-735=21x-120x-24\)
\(\Leftrightarrow24x-915=-99x-24\)
\(\Leftrightarrow24x+99x=-24+915\)
\(\Leftrightarrow123x=891\)
\(\Leftrightarrow x=891:123\)
\(\Leftrightarrow x=\frac{297}{41}.\)
Vậy phương trình có tập hợp nghiệm là: \(S=\left\{\frac{297}{41}\right\}.\)
Chúc bạn học tốt!
x-\(\frac{3\left(x+30\right)}{15}\)-26=\(\frac{7x}{10}\)-\(\frac{2\left(10x+2\right)}{5}\)
➜\(\frac{30x}{30}\)-\(\frac{6\left(x+30\right)}{30}\)-\(\frac{780}{30}\)=\(\frac{21x}{30}\)-\(\frac{12\left(10x+2\right)}{30}\)
➜ 30x-6x-180-780=21x-120x-24
➜30x-6x-21x-120x=780+180-24
➜Bạn tự tính!!!