Given
[tex]10x-12y=6[/tex]Solution
Step 1
Add 12y to both sides
[tex]\begin{gathered} 10x-12y+12y=6+12y \\ \text{simplify} \\ 10x=6+12y_{} \end{gathered}[/tex]Step 2
Divide both sides by 10
[tex]\begin{gathered} \frac{10x}{10}=\frac{6+12y}{10} \\ \text{simplify} \\ x=\frac{6+12y}{10} \end{gathered}[/tex]The final answer
[tex]x=\frac{6+12y}{10}[/tex]