Question

Giải phương trình sau: \(\frac{3x-1-\frac{x-1}{2}}{3}-\frac{2x+\frac{1-2x}{3}}{2}=\frac{\frac{3x-1}{2}}{5}\)

Answer 1

Bạn chỉ cần quy đồng khử mẫu thôi

Answer 2

\(\frac{3x-1-\frac{x-1}{2}}{3}-\frac{2x+\frac{1-2x}{3}}{2}=\frac{\frac{3x-1}{2}}{5}\)

\(\frac{6.\left(3x-1\right)-3x-1}{3}-\frac{12x+2\left(1-2x\right)}{2}=\frac{3\left(3x-1\right)}{5}\)

\(\Leftrightarrow\)\(\frac{18x-6-3x+3}{3}-\frac{12x+2-4x}{2}=\frac{9x-3}{5}\)

\(\Leftrightarrow\)\(\frac{15x-3}{3}-\frac{8x+2}{2}=\frac{9x-3}{5}\)

\(\Leftrightarrow\)\(10\left(15x-3\right)-15\left(8x+2\right)=6\left(9x-3\right)\)

\(\Leftrightarrow\)\(150x-30-120x-30=54x-18\)

\(\Leftrightarrow\)\(150x-120x-54x=-18+30+30\)

\(\Leftrightarrow-24x=42\)

\(\Leftrightarrow x=-\frac{7}{4}\)