Bài 1:
a. <=> 4x=-20
<=> x= -5
S={-5}
b. <=> 2x+2=5x-7
<=>2x-5x= -7-2
<=> -3x= -9
<=>x=3
S={3}
c. <=> -7x+3x=9-15
<=>-4x=-6
<=>x=\(\dfrac{3}{2}\)
S={\(\dfrac{3}{2}\)}
d. <=> 2x+5x=15-1
<=>7x=14
<=>x=2
S={2}
Bài 2:
a. <=> 2(2x+5)+12=3(3-x)
<=> 4x+10+12=9-3x
<=>4x+3x=9-10-12
<=>7x= -13
<=>x=\(\dfrac{-13}{7}\)
S={\(\dfrac{-13}{7}\)}
b.ĐKXĐ: x khác -1, x khác 0
<=> x(x+3) + (x-2)(x+1)= 2x(x+1)
<=> x2+3x+ x2+x-2x-2= 2x2+2x
<=> x2+3x+x2+x-2x-2x2-2x= 2
<=> 0x=2
S={vô nghiệm}
c. ĐKXĐ: x khác -2, x khác 2
<=>(x-2)(x+2) +3(x+2)=x2-11
<=> x2+2x-2x-4+2x+6=x2-11
<=>x2+2x-2x+2x-x2=-11+4-6
<=> 2x=-13
<=>x= \(\dfrac{-13}{2}\)
S={\(\dfrac{-13}{2}\)}
d. <=> 2(x-2) - (x+1)= 3x-11
<=> 2x-4 -x-1=3x-11
<=>2x-x-3x=-11+4+1
<=>-2x= -6
<=>x=3
S={3}