Đáp án:1)x=1
2)x=-2/3
3)x=5
4)x=3
5)x=-7/8
6)x=37/7
7)x=5
8)x=-2
9)x=3
Giải thích các bước giải:
1)
3(x-4)+5=2(x+1)-8
<=>3x-12+5=2x+2-8
<=>3x-7=2x-6
<=>3x-2x=-6+7
<=>x=1
2)
5(x+1)^2+2x=5x^2-3
<=>5(x^2+2x+1)+2x=5x^2-3
<=>5x^2+10x+5+2x=5x^2-3
<=>5x^2-5x^2+10x+2x=-3-5
<=>12x=-8
<=>x=-2/3
3)
(2x-1)^2+5=(2x+3)(2x-3)-x
<=>4x^2-4x+1+5=4x^2-9-x
<=>4x^2-4x^2-4x+x=-9-1-5
<=>-3x=-15
<=>x=5
4)
(7x-5)/8=(3x+1)/5
<=>(7x-5)*5=(3x+1)*8
<=>35x-25=24x+8
<=>35x-24x=8+25
<=>11x=33
<=>x=3
5)
(6x+1)/6=(5x-2)/9
<=>(6x+1)*9=(5x-2)*6
<=>54x+9=30x-12
<=>54x-30x=-12-9
<=>24x=-21
<=>x=-7/8
6)
(5x-4)/2-7=(3x+1)/4
<=>(5x-4)*2-7*4=3x+1
<=>10x-8-28=3x+1
<=>10x-3x=1+8+28
<=>7x=37
<=>x=37/7
7)
(5x-1)/6+2(x+4)/9=(7x-5)/15+x-1
<=>(5x-1)*15+2(x+4)*10=(7x-5)*6+(x-1)*90
<=>75x-15+20(x+4)=42x-30+90x-90
<=>75x-15+20x+80=42x-30+90x-90
<=>75x+20x-42x-90x=-30-90+15-80
<=>-37x=-185
<=>x=5
8)
(x+2)/3-(x-3)/5=1
<=>(x+2)*5-(x-3)*3=15
<=>5x+10-(3x-9)=15
<=>5x+10-3x+9=15
<=>5x-3x=15-10-9
<=>2x=-4
<=>x=-2
9)
((x-3)/5+1)/4=(2x/3-1/2)/6
<=>((x-3)/5+5/5)/4=(4x/6-3/6)/6
<=>((x-3+5)/5)/4=(4x-3)/6*1/6
<=>(x+2)/5*1/4=(4x-3)/36
<=>(x+2)/20=(4x-3)/36
<=>(x+2)*9=(4x-3)*5
<=>9x+18=20x-15
<=>9x-20x=-15-18
<=>-11x=-33
<=>x=3