Question

2-3x-7/4+x+17/5=0
4x+7/5+3x-2/2-5x-2/2=32

Answer 1

$1)~2-3x-dfrac 74+x+dfrac{17}5=0\\~~~~2-1dfrac 34^{(5}+2dfrac75^{(4}-3x+x=0\\~~~~3dfrac{13}{20}-2x=0~~~Rightarrow~~~2x=dfrac{73}{20}\\~~~~x=dfrac{73}{40}=1dfrac{33}{40}$

=======================

$2)~2-dfrac {3x-7}4+dfrac{x+17}5=0~~~~bigg|cdot 20\\~~~~40-5(3x-7)+4(x+17)=0\~~~~40-15x+35+4x+68=0\~~~~143-11x=0\~~~~11x=143;~~~~~~~~~boldsymbol{x=13}$

=======================

$3)~dfrac {4x+7}5+dfrac{3x-2}2-dfrac{5x-2}2=32\\~~~dfrac {4x+7}5+dfrac{3x-2-5x+2}2=32\\~~~dfrac {4x+7}5-dfrac{2x}2=32\\~~~dfrac {4x+7}5-x=32~~~bigg|cdot 5\\~~~~4x+7-5x=160\~~~~-x=153;~~~~~~~~~~~~~x=-153$