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If $\frac{6 x + 1}{3} + 1 = \frac{x - 3}{6}$ then determine the value of x and choose the option which follows.

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x = 3

x =1

x = -1

x =-3

answer is B.

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Detailed Solution

The given linear equation is as follows,

\frac{6 x + 1}{3} + 1 = \frac{x - 3}{6}

.
We first multiply each side of the given equation by 6 and simplify,

\begin{matrix} \frac{6 x + 1}{3} (6) + 1 (6) = \frac{x - 3}{6} (6) \\ 2 (6 x + 1) + 6 = x - 3 \\ 12 x + 2 + 6 = x - 3 \\ 12 x + 8 = x - 3 \end{matrix}

\begin{matrix} 12 x + 8 - x = x - 3 - x \\ 11 x + 8 = - 3 \end{matrix}

So, the value of the variable x is -1.
Hence, the correct option is (2).

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