Решите ур-е:3х+2/х-1=7(х+3)-2(2х+5)-9/х-1 (3х-1)(2х+3)(2х-1)/6х-3 и всё выражение равно 0...

$\frac{(3x-1)(2x+3)(2x-1)}{6x-3}=0\\6x-3\neq0; x\neq\frac{1}{2}\\3x-1=0; x=\frac{1}{3}\\2x+3=0; x=-\frac{3}{2}\\2x-1=0;x=\frac{1}{2}$
ответ: $x=\frac{1}{3}; x=\frac{3}{2}$

\left \{ {3x-1=x+4; 3x-1>0} \atop {3x-1=-x-4}}\right.<=>\left \{ {x=2,5; x>\frac{1}{3}} \atop {x=-\frac{3}{4}; x<\frac{1}{3}}\right." alt="|3x-1|=x+4<=>\left \{ {3x-1=x+4; 3x-1>0} \atop {3x-1=-x-4}}\right.<=>\left \{ {x=2,5; x>\frac{1}{3}} \atop {x=-\frac{3}{4}; x<\frac{1}{3}}\right." align="absmiddle" class="latex-formula">
ответ: $x=2,5; x=-\frac{3}{4}$

\left \{ {{3x+2=4} \atop {3x+2=-4}}\right.<=>\left \{ {{x=\frac{2}{3}} \atop {x=-2}}\right." alt="|3x+2|-4=0<=>\left \{ {{3x+2=4} \atop {3x+2=-4}}\right.<=>\left \{ {{x=\frac{2}{3}} \atop {x=-2}}\right." align="absmiddle" class="latex-formula">
ответ: $x=-2; x=\frac{2}{3}$

\left \{ {{x>0; 2x-10+18=6x}\atop{x<0; 2x-10+18=-6x}}\right.<=>\left \{ {{x>0; 4x=8}\atop{x<0; 8x=-8}}\right.<=>\left \{ {{x>0; x=2}\atop{x<0; x=-1}}\right." alt="2(x-5)-6|x|=-18\\2(x-5)+18=6|x|<=>\left \{ {{x>0; 2x-10+18=6x}\atop{x<0; 2x-10+18=-6x}}\right.<=>\left \{ {{x>0; 4x=8}\atop{x<0; 8x=-8}}\right.<=>\left \{ {{x>0; x=2}\atop{x<0; x=-1}}\right." align="absmiddle" class="latex-formula">
ответ: $x=2; x=-1$