Question

solve equation for x. if the equation has a solution that is in terms of other variables state any restriction on those variables

Answer 1

At first, we must simplify the two sides

$4x-2(3-x)=2(x-3)+4x$

Multiply the brackets by the numbers before them

$\begin{gathered} 4x-2(3)-2(-x)=2(x)-2(3)+4x \\ 4x-6+2x=2x-6+4x \end{gathered}$

Now, add the like terms on each side

$\begin{gathered} (4x+2x)-6=(2x+4x)-6 \\ 6x-6=6x-6 \end{gathered}$

Since the two sides have the same terms

Then this equation has many solutions (x can be any value)