Solve $6 x + 1 = 3 (x - 1) + 7$ for the value of $x$ .

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Solution

Given, $6 x + 1 = 3 (x - 1) + 7$

$\Rightarrow 6 x + 1 = 3 x - 3 + 7$ ...[By Distribution Law].

Transposing $x$ terms to one side, we get,
$\Rightarrow 6 x - 3 x = - 3 + 7 - 1$

$\Rightarrow$ $3 x = 3$ .

Divide throughout by $3$ , we get,
$\Rightarrow$ $\frac{3 x}{3} = \frac{3}{3}$

$\Rightarrow x = 1$ .

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