a) \(\frac{3x-2}{2}=\frac{1-2x}{3}\)
\(\Leftrightarrow3\left(3x-2\right)=2\left(1-2x\right)\)
\(\Leftrightarrow9x-6=2-4x\)
\(\Leftrightarrow13x-8=0\)
\(\Leftrightarrow x=\frac{8}{13}\)
b) \(\frac{x-1}{3}+2=3-\frac{2x+5}{4}\)
\(\Leftrightarrow\frac{4\left(x-1\right)+24}{12}=\frac{36-3\left(2x+5\right)}{12}\)
\(\Leftrightarrow4x-4+24=36-6x-15\)
\(\Leftrightarrow4x+20=-6x+21\)
\(\Leftrightarrow10x=1\)
\(\Leftrightarrow x=\frac{1}{10}\)
c) \(\frac{x-1}{5}+x=\frac{x+1}{7}\)
\(\Leftrightarrow\frac{7\left(x-1\right)+35x}{35}=\frac{5\left(x+1\right)}{7}\)
\(\Leftrightarrow7x-7+35x=5x+5\)
\(\Leftrightarrow37x=12\)
\(\Leftrightarrow x=\frac{12}{37}\)
d) \(2.\left(x-2.5\right)=0,25+\frac{4x-3}{8}\)
\(\Leftrightarrow8\left(x-2,5\right)=2+4x-3\)
\(\Leftrightarrow8x-20=4x-1\)
\(\Leftrightarrow4x=19\)
\(\Leftrightarrow x=\frac{4}{19}\)
