Question

Solve the following equation:
\[6x = 12 \]

Answer 1

Hint: In this problem, divide by 6 on both sides of the given equation to obtain the value of \[x\]. The solution of the given equation shows the \[x\] intercept on the graph.

Complete step by step answer:
Divide by 6 on both sides of the expression \[6x = 12\] to obtain the value of \[x\].
\[
  \,\,\,\,\,6x = 12 \\
   \Rightarrow \dfrac{{6x}}{6} = \dfrac{{12}}{6} \\
   \Rightarrow x = 2 \\
\]

Thus, the solution set for the equation \[6x = 12\] is \[\left\{ 2 \right\} \].

Note: In this problem, we need to divide by the factor of \[x\] on both sides of the given equation. Here, the factor of \[x\] is 6, hence, we need to divide by 6 on both sides to obtain the value of \[x\]. The solution of a linear equation shows the \[x\] intercept. The graph of the given equation has no y intercept.