Answer :
Given the equation:
[tex]6x-2=22[/tex]to find the value of 'x', first we need to move the constant -2 to the other side of the equation. By doing so, the constant will change its sign (since it's substracting), so we would get the following:
[tex]\begin{gathered} 6x-2=22 \\ \Rightarrow6x=22+2=24 \\ \Rightarrow6x=24 \end{gathered}[/tex]Next, to remove the coefficient of the term 6x, we have to move the 6 to the right side dividing (since it's multiplying the variable x) to get the following:
[tex]\begin{gathered} 6x=24 \\ \Rightarrow x=\frac{24}{6}=4 \\ x=4 \end{gathered}[/tex]therefore, x = 4