\(25\)
\(\dfrac{3x+2}{2}+\dfrac{5-2x}{3}=\dfrac{11}{6}\)
\(\Leftrightarrow3\left(3x+2\right)+2\left(5-2x\right)=11\)
\(\Leftrightarrow9x+6+10-4x=11\)
\(\Leftrightarrow5x+16=11\)
\(\Leftrightarrow5x=-5\)
\(\Leftrightarrow x=-1\)
\(26\)
\(\dfrac{x+2}{4}+\dfrac{2x-3}{3}=\dfrac{x-12}{6}\)
\(\Leftrightarrow3\left(x+2\right)+4\left(2x-3\right)=2\left(x-12\right)\)
\(\Leftrightarrow3x+6+8x-12=2x-24\)
\(\Leftrightarrow11x-6=2x-24\)
\(\Leftrightarrow11x-6-2x+24=0\)
\(\Leftrightarrow9x+18=0\)
\(\Leftrightarrow9x=-18\Leftrightarrow x=-2\)
\(27\)
\(\dfrac{2x-1}{3}-\dfrac{x-1}{2}+\dfrac{x+1}{6}=1\)
\(\Leftrightarrow2\left(2x-1\right)-3\left(x-1\right)+x+1=1\)
\(\Leftrightarrow4x-2-3x+1+x+1-1=0\)
\(\Leftrightarrow2x-1=0\)
\(\Leftrightarrow2x=1\Leftrightarrow x=\dfrac{1}{2}\)
25) \(\dfrac{3x+2}{2}+\dfrac{5-2x}{3}=\dfrac{11}{6}\)
\(\Leftrightarrow\dfrac{9x+6}{6}+\dfrac{10-4x}{6}=\dfrac{11}{6}\)
\(\Leftrightarrow9x+6+10-4x=11\)
\(\Leftrightarrow5x+16=11\)
\(\Leftrightarrow5x=-5\)
\(\Leftrightarrow x=-1\)
26) \(\dfrac{x+2}{4}+\dfrac{2x+3}{3}=\dfrac{x-12}{6}\)
\(\Leftrightarrow\dfrac{3x+6}{12}+\dfrac{8x-12}{12}=\dfrac{2x-24}{12}\)
\(\Leftrightarrow3x+6+8x-12=2x-24\)
\(\Leftrightarrow9x=-18\)
\(\Leftrightarrow x=-2\)
27) \(\dfrac{2x-1}{3}-\dfrac{x-1}{2}+\dfrac{x+1}{6}=1\)
\(\Leftrightarrow\dfrac{4x-2-3x+3+x+1}{6}=1\)
\(\Leftrightarrow4x-2-3x+3+x+1=1\)
\(\Leftrightarrow2x=-1\)
\(x=\dfrac{-1}{2}\)
