Question

Solve the equation below and answer the questions that follow

Answer 1

The equation to solve is

`2(x+3)-4x=-2(x-5)-4`

Let us solve the equation for "x". THe steps are shown below:

`\begin{gathered} 2(x+3)-4x=-2(x-5)-4 \\ 2x+6-4x=-2x+10-4 \\ -2x+6=-2x+6 \end{gathered}`

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.