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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

State true or...

Question

State true or false.
$x = 5$ is the solution of the equation $3 x - 2 = 13$ .

True

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False

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Solution

The correct option is A True
Given, $13 = 3 x - 2$
Add $2$ on both the sides,
$13 + 2 = 3 x - 2 + 2$
$15 = 3 x$
Divide throughout by 3
$\frac{3 x}{3} = \frac{15}{3}$
$∴ x = 5$

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