a.
\(-\frac{2}{3}-\frac{1}{3}\times\left(2x-5\right)=\frac{3}{2}\)
\(-\frac{2}{3}-\frac{2}{3}x+\frac{5}{3}=\frac{3}{2}\)
\(\left(-\frac{2}{3}+\frac{5}{3}\right)-\frac{2}{3}x=\frac{3}{2}\)
\(\frac{3}{3}-\frac{2}{3}x=\frac{3}{2}\)
\(1-\frac{2}{3}x=\frac{3}{2}\)
\(\frac{2}{3}x=1-\frac{3}{2}\)
\(\frac{2}{3}x=\frac{2}{2}-\frac{3}{2}\)
\(\frac{2}{3}x=-\frac{1}{2}\)
\(x=-\frac{1}{2}\div\frac{2}{3}\)
\(x=-\frac{1}{2}\times\frac{3}{2}\)
\(x=-\frac{3}{4}\)
b.
\(\frac{1}{3}x+\frac{2}{5}\times\left(x-1\right)=0\)
\(\frac{1}{3}x+\frac{2}{5}x-\frac{2}{5}=0\)
\(x\times\left(\frac{1}{3}+\frac{2}{5}\right)=\frac{2}{5}\)
\(x\times\left(\frac{5}{15}+\frac{6}{15}\right)=\frac{2}{5}\)
\(x\times\frac{11}{15}=\frac{2}{5}\)
\(x=\frac{2}{5}\div\frac{11}{15}\)
\(x=\frac{2}{5}\times\frac{15}{11}\)
\(x=\frac{6}{11}\)
Chúc bạn học tốt
a ) \(-\frac{2}{3}-\frac{1}{3}\left(2x-5\right)=\frac{3}{2}\)
\(\frac{1}{3}\left(2x-5\right)=-\frac{2}{3}-\frac{3}{2}\)
\(\frac{1}{3}\left(2x-5\right)=\frac{-13}{6}\)
\(\left(2x-5\right)=-\frac{13}{6}:\frac{1}{3}\)
\(\left(2x-5\right)=-\frac{13}{6}.\frac{3}{1}\)
\(\left(2x-5\right)=-\frac{13}{2}\)
\(2x=-\frac{13}{2}+5\)
\(2x=-\frac{3}{2}\)
\(\Rightarrow x=-\frac{3}{2}:2\)
\(\Rightarrow x=-\frac{3}{2}.\frac{1}{2}\)
\(\Rightarrow x=-\frac{3}{4}\)
1)
a) \(-\frac{2}{3}-\frac{1}{3}\left(2x-5\right)=\frac{3}{2}\)
\(\Rightarrow-\frac{2}{3}-\frac{2}{3}x-\frac{5}{3}=\frac{3}{2}\)
\(\Rightarrow1-\frac{2}{3}x=\frac{3}{2}\)
\(\Rightarrow\frac{2}{3}x=1-\frac{3}{2}\)
\(\Rightarrow\frac{2}{3}x=-\frac{1}{2}\)
\(\Rightarrow x=-\frac{1}{2}:\frac{2}{3}\)
\(\Rightarrow x=-\frac{3}{4}\)
Vậy \(x=-\frac{3}{4}\)
b)
\(\frac{1}{3}x+\frac{2}{5}\left(x-1\right)=0\)
\(\Rightarrow\frac{1}{3}x+\frac{2}{5}x-\frac{2}{5}=0\)
\(\Rightarrow x.\left(\frac{1}{3}+\frac{2}{5}\right)=\frac{2}{5}\)
\(\Rightarrow x.\left(\frac{5}{15}+\frac{6}{15}\right)=\frac{2}{5}\)
\(\Rightarrow x.\frac{11}{15}=\frac{2}{5}\)
\(\Rightarrow x=\frac{2}{5}:\frac{11}{15}\)
b)
\(\Rightarrow x=\frac{6}{11}\)
Vậy \(x=\frac{6}{11}\)