The equation to solve is
[tex]2(x+3)-4x=-2(x-5)-4[/tex]
Let us solve the equation for "x". THe steps are shown below:
[tex]\begin{gathered} 2(x+3)-4x=-2(x-5)-4 \\ 2x+6-4x=-2x+10-4 \\ -2x+6=-2x+6 \end{gathered}[/tex]
For x = 3, the equation is 0 = 0.
At this point, no matter what value you put into "x", this equation holds true.
Thus, there are infinite solutions to the equation.
