\(\dfrac{x+5}{4}-\dfrac{2x-5}{3}=\dfrac{6x-1}{3}+\dfrac{2x-3}{12}\)
\(\Rightarrow\dfrac{3\left(x+5\right)-4\left(2x-5\right)}{12}=\dfrac{4\left(6x-1\right)+2x-3}{12}\)
\(\Rightarrow3\left(x+5\right)-4\left(2x-5\right)=4\left(6x-1\right)+2x-3\)
\(\Rightarrow3x+15-8x+20=24x-4+2x-3\)
\(\Rightarrow3x-8x-24x-2x=-4-3-15-20\)
\(\Rightarrow-31x=-42\Rightarrow x=\dfrac{42}{31}\)
\(\dfrac{x+5}{4}-\dfrac{2x-3}{12}=\dfrac{6x-1}{3}+\dfrac{2x-5}{3}\\ \dfrac{3x+15-2x+3}{12}=\dfrac{6x-1+2x-5}{3}\\ \dfrac{x+18}{12}=\dfrac{8x-6}{3}\\\left(x+18\right).3=\left(8x-6\right).12\\ 3x+54=96x-72\\ 3x-96x+54+72=0\\ 126-93x=0\\ -93x=-126\\ x=\dfrac{126}{93}\\ x=\dfrac{42}{31}\)
Chúc bạn học tốt ^^