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Reducing Equations to Simpler Form

Solve the equ...

Question

Solve the equation and check your results: $\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$

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Solution

$\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$
$\frac{2 x}{3} - \frac{7 x}{15} = 3 - 1$
$\frac{10 x - 7 x}{15} = 2$
$3 x = 30$
$x = \frac{30}{3}$
$x = 10$

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Reducing Equations to Simpler Form

Standard VIII Mathematics

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