State true or false:
The root of the equation $10 x - 5 = 2 x - 1$ is $\frac{1}{2}$ .

True

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False

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Solution

The correct option is A True
Given, $10 x - 5 = 2 x - 1$
First check for $\frac{1}{2}$ :
$10 \times \frac{1}{2} - 5 = 2 \times \frac{1}{2} - 1$
$\Rightarrow 5 - 5 = 1 - 1$
$\Rightarrow 0 = 0$
Since equality is correct, then $\frac{1}{2}$ is root of the equation.

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