Solve: 3x 10 + 2x 5 = 7x 25 +29 25 . - Vidyadip

Question

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

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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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