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Solving Equations with Variables on Both Sides

Solve the fol...

Question

Solve the following equation.
$\frac{2 m + 5}{3} = 3 m - 10$ .

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Solution

$\begin{matrix} \frac{2 m + 5}{3} = 3 m - 10 \Rightarrow 2 m + 5 = 9 m - 30 \Rightarrow 30 + 5 = 9 m - 2 m \Rightarrow 35 = 7 m \Rightarrow m = \frac{35}{7} \Rightarrow m = 5 \end{matrix}$

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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