\(a,5x-5+\dfrac{1}{2}=x-\dfrac{1}{2}\\ 5x-\dfrac{9}{2}-x+\dfrac{1}{2}=0\\ 4x-4=0\\ 4x=4\\ x=1\\ b,3x-\dfrac{3}{2}-3x+1-x=0\\ -x-\dfrac{3}{2}+1=0\\ -x-\dfrac{1}{2}=0\\ -x=\dfrac{1}{2}\\ x=-\dfrac{1}{2}\)
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\(5x-5+\dfrac{1}{2}=x-\dfrac{1}{2}\)
\(5x-5+\dfrac{1}{2}-x+\dfrac{1}{2}=0\)
\(\left(5x-x\right)+\left(\dfrac{1}{2}-\dfrac{1}{2}\right)-5=0\)
\(4x-5=0\)
\(4x=5\)
\(x=\dfrac{5}{4}\)
\(----------------\)
\(3x-\dfrac{3}{2}-3x+1=x\)
\(\left(3x-3x\right)-x-\left(\dfrac{3}{2}-1\right)=0\)
\(-x-\dfrac{1}{2}=0\)
\(-x=\dfrac{1}{2}\)
\(x=-\dfrac{1}{2}\)
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