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

Answer

We have: $\frac{3\text{x}}{10}+\frac{2\text{x}}{5}=\frac{7\text{x}}{25}+\frac{29}{25}$ $\Rightarrow\frac{3\text{x}+4\text{x}}{10}=\frac{7\text{x}+29}{25}$ $\Rightarrow\frac{7\text{x}}{10}=\frac{7\text{x}+29}{25}$ $\Rightarrow175\text{x}=70\text{x}+290$ $\Rightarrow105\text{x}=290$ $\Rightarrow\text{x}=\frac{290}{105}$ $\Rightarrow\text{x}=\frac{58}{21}$

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