Given:
The linear equation is,
[tex]9x+2=4x+12[/tex]To solve for x:
Explanation:
Subtracting 4x on both sides, we get
[tex]\begin{gathered} 9x+2-4x=4x+12-4x \\ 5x+2=12 \end{gathered}[/tex]Subtracting 2 on both sides, we get
[tex]\begin{gathered} 5x+2-2=12-2 \\ 5x=10 \end{gathered}[/tex]Dividing 5 into both sides, we get
[tex]\begin{gathered} \frac{5x}{5}=\frac{10}{5} \\ x=2 \end{gathered}[/tex]Therefore, the value of x is 2.
Final answer:
The value of x is 2.