Câu trả lời:
1 .
a.2(x-0,5)+3=0,25(4x-1)
\(\Leftrightarrow\)2x-1+3=x-0,25
\(\Leftrightarrow\)2x-x=-0,25-2
\(\Leftrightarrow\)x=-2,25
Vậy .......
b.2(x-\(\dfrac{1}{4}\))-4=-6(-\(\dfrac{1}{3}\)x+0,5)+2
\(\Leftrightarrow2x-\dfrac{1}{2}-4=2x-3+2\)
\(\Leftrightarrow2x_{_{ }}-2x=-1+4+\dfrac{1}{2}\)
\(\Leftrightarrow0x=3,5\)
\(\Rightarrow\)Vô no
Vậy ........
2.
a.\(\dfrac{3x-2}{2}=\dfrac{1-2x}{3}\)
\(\Rightarrow3\left(3x-2\right)=2\left(1-2x\right)\)
\(\Leftrightarrow9x-6=3-6x\)
\(\Leftrightarrow9x+6x=3+6\)
\(\Leftrightarrow15x=9\)
\(\Leftrightarrow x=\dfrac{3}{5}\)
Vậy .......
b.\(\dfrac{x-1}{3}+2=3-\dfrac{2x+5}{4}\)
\(\Rightarrow4\left(x-1\right)+24=36-3\left(2x+5\right)\)
\(\Leftrightarrow4x-4+24=36-6x-15\)
\(\Leftrightarrow4x+6x=21-24\)
\(\Leftrightarrow10x=-3\)
\(\Leftrightarrow x=\dfrac{-3}{10}\)
Vậy ........
c.\(\dfrac{x-1}{5}+x=\dfrac{x+1}{7}\)
\(\Rightarrow7\left(x-1\right)+35x=5\left(x+1\right)\)
\(\Leftrightarrow7x-7+35x=5x+5\)
\(\Leftrightarrow42x-5x=5+7\)
\(\Leftrightarrow37x=12\)
\(\Leftrightarrow x=\dfrac{12}{37}\)
Vậy ......
d.2(x-2,5)=0,25+\(\dfrac{4x-3}{8}\)
\(\Rightarrow6\left(x-2,5\right)=2+4x-3\)
\(\Leftrightarrow6x-15=2+4x-3\)
\(\Leftrightarrow6x-4x=-1+15\)
\(\Leftrightarrow2x=14\)
\(\Leftrightarrow x=7\)
Vậy .........