a: \(\dfrac{2x-3}{3}-\dfrac{x-3}{6}=\dfrac{4x+3}{5}-17\)

=>10(2x-3)-5(x-3)=6(4x+3)-510

=>20x-30-5x+15=24x+18-510

=>24x-492=15x-15

=>9x=477

=>x=53

b: \(\dfrac{5x-6}{3}-\dfrac{2x+2}{12}-\dfrac{x-1}{4}=1\)

=>4(5x-6)-2x-2-3(x-1)=12

=>20x-24-2x-2-3x+3=12

=>15x-23=12

=>15x=35

=>x=35/15=7/3

BPTT: Nhân hóa, liệt kê

Tác dụng: Giúp cho câu văn giàu sức gợi

Cho thấy sự kiên cường, vững chãi của cây sồi trước ngọn gió

\(a,\dfrac{2x-1}{3}-\dfrac{5x+2}{7}=x+13\\ \Rightarrow7.\left(2x-1\right)-3.\left(5x+2\right)=21.\left(x+13\right)\\ \Rightarrow14x-7-15x-6=21x+273\\\Rightarrow -x-21x=273+13\\ \Rightarrow-22x=286\\ \Rightarrow x=-13\\ b,\dfrac{3\left(x+3\right)}{4}+\dfrac{1}{2}=\dfrac{5x+9}{3}-\dfrac{7x-9}{4}=0\\ \Rightarrow9.\left(x+3\right)+6=4.\left(5x+9\right)-3.\left(7x-9\right)=0\\\Rightarrow 9x+27+6=20x+36-21x+27\\ \Rightarrow9x+33=-x+63\\ \Rightarrow10x=30\\ \Rightarrow x=3\)

\(a,\dfrac{2x-1}{3}-\dfrac{5x+2}{7}=x+13\)

\(\Rightarrow7\left(2x-1\right)-3\left(5x+2\right)-21x-273=0\)

\(\Rightarrow14x-7-15x-6-21x-273=0\)

\(\Rightarrow-22x=286\)

\(\Rightarrow x=-13\)

\(b,\dfrac{3\left(x+3\right)}{4}+\dfrac{1}{2}=\dfrac{5x+9}{3}-\dfrac{7x-9}{4}\)

\(\Rightarrow9\left(x+3\right)+6-4\left(5x+9\right)+3\left(7x-9\right)=0\)

\(\Rightarrow9x+27+6-20x-36+21x-27=0\)

\(\Rightarrow10x=30\Rightarrow x=3\)

a: =>3(3x-7)+2(x+1)=-96

=>9x-21+2x+2=-96

=>11x-19=-96

=>11x=-96+19=-75

=>x=-75/11

b: \(x-\dfrac{x+1}{3}=\dfrac{2x+1}{5}\)

=>15x-5(x+1)=3(2x+1)

=>15x-5x-5=6x+3

=>10x-5=6x+3

=>4x=8

=>x=2

a)

\(\dfrac{3x-7}{2}+\dfrac{x+1}{3}=-16\)

\(< =>9x-21+2x+2=-96\)

\(< =>9x+2x=-96+21-2\\ < =>11x=-77\\ < =>x=-7\)

b)

\(\dfrac{x-x+1}{3}=\dfrac{2x+1}{5}\\ < =>5=6x+3\\ < =>6x=5-3\\ < =>6x=2\\ < =>x=\dfrac{1}{3}\)

\(a,\dfrac{3x-7}{2}+\dfrac{x+1}{3}=-16\\ \Rightarrow3\left(3x-7\right)+2\left(x+1\right)=2.3.\left(-16\right)\\ \Rightarrow9x-21+2x+2=-96\\ \Rightarrow11x-19=-96\\ \Rightarrow11x=-77\\ \Rightarrow x=-7\\ b,x-\dfrac{x+1}{3}=\dfrac{2x+1}{5}\\ \Rightarrow15x-5.\left(x+1\right)=3.\left(2x+1\right)\\\Rightarrow 15x-5x-5=6x+3\\ \Rightarrow10x-6x=3+5\\ \Rightarrow4x=8\\ \Rightarrow x=2\)

Sorry about the mess! I've been baking.

a: =>(3x-1)(x+3)=(3x-5)(x-2)

=>3x^2+9x-x-3=3x^2-6x-5x+10

=>8x-3=-11x+10

=>19x=13

=>x=13/19

b: \(\Leftrightarrow2x^2-x+10x-5=2x^2+2x-3x-3\)

=>9x-5=-x-3

=>10x=2

=>x=1/5

c: \(\Leftrightarrow x^2+10x+9=x^2+8x+15\)

=>2x=6

=>x=3

d: \(\Leftrightarrow6x^2+3x+10x+5=6x^2-18x-2x+6\)

=>13x+5=-20x+6

=>33x=1

=>x=1/33

e: =>x^2+4x+4+2x-8=x^2-6x+8

=>6x-4=-6x+8

=>12x=12

=>x=1

f: =>2x^2-3x+2x-3-3x+6=2x^2-4x+2

=>-4x+3=-4x+2

=>3=2(loại)

\(a,\left(3x-1\right)\left(x+3\right)=\left(2-x\right)\left(5-3x\right)\\ \Rightarrow3x^2-x+9x-3=10-5x-6x+3x^2\\ \Rightarrow8x-3=10-11x\\ \Rightarrow8x+11x=10+3\\ \Rightarrow19x=13\\ \Rightarrow x=\dfrac{13}{19}\\ ------------\\ b,\left(x+5\right)\left(2x-1\right)=\left(2x+3\right)\left(x+1\right)\\ \Rightarrow2x^2+10x-x-5=2x^2+3x+2x+3\\ \Rightarrow9x-5=5x+3\\ \Rightarrow9x-5x=3+5\\ \Rightarrow4x=8\\ \Rightarrow x=8:4\\ \Rightarrow x=2\)

\(---------\\ c,\left(x+1\right)\left(x+9\right)=\left(x+3\right)\left(x+5\right)\\ \Rightarrow x^2+x+9x+9=x^2+3x+5x+15\\ \Rightarrow10x+9=8x+15\\ \Rightarrow10x-8x=15-9\\ \Rightarrow2x=6\\ \Rightarrow x=3\)

\(-----------\\ d,\left(3x+5\right)\left(2x+1\right)=\left(6x-2\right)\left(x-3\right)\\ \Rightarrow6x^2+10x+3x+5=6x^2-2x-18x+6\\ \Rightarrow13x+5=-20x+6\\ \Rightarrow13x+20x=6-5\\ \Rightarrow33x=1\\ \Rightarrow x=\dfrac{1}{33}\)