`d)` \(\left(x+\frac{1}{2}\right)\times\left(\frac{2}{3}-2x\right)=0\)
\(\Rightarrow TH1: x+\frac{1}{2}=0\)
\(x=0-\frac{1}{2}\)
\(x=-\frac{1}{2}\)
\(\Rightarrow TH2: \left(\frac{2}{3}-2x\right)=0\)
\(2x=\frac{2}{3}-0\)
\(2x=\frac{2}{3}\)
\(x=\frac{2}{3}\div2\)
\(x=\frac{1}{3}\)
`e) 2/3 x - 1/2 x = 5/12`
`(2x)/3 + (-x)/2 = 5/12`
`(2x2)/6 + (3(-x))/2 = 5/12`
`(4x - 3x)/6 = 5/12`
`x/6 = 5/12`
`2x/12 = 5/12`
`⇒ 2x = 5`
`⇒ x = 5/2`
`(x.6 2/7 + 3/7)2 1/5 - 3/7 = -2`
`(x . 44/7 + 3/7)11/5 = -2 + 3/7`
`(x . 44/7 + 3/7)11/5 = -11/7`
`(x . 44/7 + 3/7 = -11/5 ÷ 11/5`
`x . 44/7 + 3/7 = -5/7`
`x . 44/7 = -5/7 - 3/7`
`x . 44/7 = -8/7`
`x = -8/7 ÷ 44/7`
`x= -2/11`