Question

Solve: $0.5x+\frac{x}{3}=0.25x+7.$

Answer 1

$\begin{array}{l}\text{We have:}\\ 0.5x+\frac{x}{3}=0.25x+7\\ \Rightarrow \frac{1.5x+x}{3}=0.25x+7\\ \Rightarrow 1.5x+x=3(0.25x+7)\\ \Rightarrow 2.5x=0.75x+21\\ \Rightarrow 2.5x-0.75x=21\\ \Rightarrow 1.75x=21\\ \Rightarrow x=\frac{21}{1.75}\\ \Rightarrow x=12\end{array}$