The equation given is:
[tex]7x-2\mleft(2x-9\mright)=2\mleft(x-5\mright)[/tex]We can use the distributive property [a(b+c) = ab + ac] to expand:
[tex]7x-4x+18=2x-10[/tex]Now we can add like terms, simplify, and solve for x:
[tex]\begin{gathered} 3x+18=2x-10 \\ 3x-2x=-10-18 \\ x=-28 \end{gathered}[/tex]Answer: