Answer:
The solution of the equation is;
[tex]x=-11[/tex]Explanation:
Given the equation;
[tex]6(x-6)+4=8x-10[/tex]Applying Distributive property of multiplication, we have;
[tex]\begin{gathered} 6(x)-6(6)+4=8x-10 \\ 6x-36+4=8x-10 \\ 6x-32=8x-10 \\ \text{collect the like terms, and solve;} \\ 8x-6x=+10-32 \\ 2x=-22 \\ x=\frac{-22}{2} \\ x=-11 \end{gathered}[/tex]Therefore, the solution of the equation is;
[tex]x=-11[/tex]