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Solving Equations with Variables on Both Sides

Solve: 7x2 ...

Question

Solve: $\frac{7 x}{2} - (4 x - 5) = \frac{x}{2} + \frac{x}{4}$ .

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Solution

Given,
$\frac{7 x}{2} - (4 x - 5) = \frac{x}{2} + \frac{x}{4}$
or, $- \frac{x}{2} + 5 = \frac{3 x}{4}$
or, $5 = \frac{5 x}{4}$
or, $x = 4$ .

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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