Question

Giải phương trình:

\(\frac{7}{10}-\frac{5}{8}\cdot x-\frac{7}{6}=\frac{5}{6}\cdot x\)

Answer 1

Ta có: \(\frac{7}{10}-\frac{5}{8}.x-\frac{7}{6}=\frac{5}{6}.x\)

\(\Rightarrow\frac{7}{10}-\frac{7}{6}=\frac{5}{6}x+\frac{5}{8}x\)

\(\Rightarrow\frac{21}{30}-\frac{35}{30}=\left(\frac{5}{6}+\frac{5}{8}\right)x\)

\(\Rightarrow-\frac{7}{15}=\left(\frac{15}{24}+\frac{20}{24}\right)x\)

\(\Rightarrow-\frac{7}{15}=\frac{35}{24}x\)

\(\Rightarrow x=-\frac{7}{15}:\frac{35}{24}\)

\(\Rightarrow x=-\frac{7}{15}.\frac{24}{35}\)

\(\Rightarrow x=-\frac{8}{25}\)

Vậy \(x=-\frac{8}{25}\)

Chuk bạn hok tốt!