Question:
0.4(3x-1)=0.5x +1
Solution:
Given, $0.4(3 x-1)=0.5 x+1$
$\Rightarrow$ $1.2 x-0.4=0.5 x+1$
$\Rightarrow$ $1.2 x-0.5 x=1+0.4$ [transposing $0.5 x$ to LHS and $-0.4$ to RHS]
$\Rightarrow$ $0.7 x=1.4$
$\Rightarrow$ $\frac{0.7 x}{0.7}=\frac{1.4}{0.7}$ [dividing both sides by $0.7$ ]
$\therefore$ $x=2$