Question

Solve: $\frac{3x}{10}+\frac{2x}{5}=\frac{7x}{25}+\frac{29}{25}.$

Answer 1

$\begin{array}{l}\text{We have:}\\ \frac{3x}{10}+\frac{2x}{5}=\frac{7x}{25}+\frac{29}{25}\\ \Rightarrow \frac{3x+4x}{10}=\frac{7x+29}{25}\\ \Rightarrow \frac{3x+4x}{10}=\frac{7x+29}{25}\\ \Rightarrow \frac{7x}{10}=\frac{7x+29}{25}\\ \Rightarrow \text{175}x=70x+290\\ \Rightarrow \text{105}x=290\\ \Rightarrow x=\frac{\sout{2}9{\sout{\sout{0}}}^{58}}{\sout{1}\sout{0}{\sout{5}}^{21}}\\ \Rightarrow x=\frac{58}{21}\\ \end{array}$