\(\dfrac{3}{10}\left(2x-1\right)+\dfrac{63}{4}=\dfrac{1}{2}\\ \dfrac{3}{10}\left(2x-1\right)=\dfrac{1}{2}-\dfrac{63}{4}\\ \dfrac{3}{10}\left(2x-1\right)=\dfrac{2-63}{4}\\ \dfrac{3}{10}\left(2x-1\right)=-\dfrac{61}{4}\\ 2x-1=\left(-\dfrac{61}{4}\right):\dfrac{3}{10}\\ 2x-1=-\dfrac{305}{6}\\ 2x=\dfrac{-305}{6}+1\\ 2x=\dfrac{-305+6}{1}\\ 2x=\dfrac{-299}{1}\\ x=\left(-\dfrac{299}{1}\right):2\\ x=-\dfrac{299}{12}\)
`30% . (2x-1)+15 3/4 = 1/4 xx 2`
`30% . (2x-1)+15 3/4 = 1/2`
`3/10 . (2x-1) + 63/4 = 1/2`
`3/10 . (2x-1) = 1/2 - 63/4`
`3/10 . (2x-1) = 2/4 - 63/4`
`3/10 . (2x-1) = -61/4`
`2x-1=-61/4 : 3/10`
`2x-1=-61/4 xx 10/3`
`2x-1=-305/6`
`2x=-305/6+1`
`2x=-299/6`
`x=-299/6 : 2`
`x=-299/9 xx 1/2`
`x=-299/12`