`1/4 + 3/4 x = -3 1/2`
`=> 1/4 + 3/4 x = -7/2`
`=> 3/4 x = -7/2 - 1/4`
`=> 3/4 x = -15/4`
`=> x = -15/4 : 3/4`
`=> x = -5`
\(\dfrac{1}{4}+\dfrac{3}{4}x=-3\dfrac{1}{2}\\ =>\dfrac{3}{4}x=\dfrac{\left(-3\right)\times2+1}{2}-\dfrac{1}{4}\\ =>\dfrac{3}{4}x=-\dfrac{5}{2}-\dfrac{1}{4}\\ =>\dfrac{3}{4}x=\dfrac{-10-1}{4}=-\dfrac{11}{4}\\ =>x=-\dfrac{11}{4}:\dfrac{3}{4}=-\dfrac{11}{3}\)
\(\dfrac{1}{4}+\dfrac{3}{4}x=-3\dfrac{1}{2}\)
\(\dfrac{1}{4}+\dfrac{3}{4}x=\dfrac{-7}{2}\)
\(\dfrac{3}{4}x=\dfrac{-7}{12}-\dfrac{1}{4}\)
\(\dfrac{3}{4}x=\dfrac{-5}{6}\)
\(x=\dfrac{-5}{6}:\dfrac{3}{4}\)
\(x=\dfrac{-5}{6}.\dfrac{4}{3}\)
\(x=\dfrac{-10}{9}\)
