Question

Finish the right side of the equation so that this equation has infinite solutions. (feel free to be as creative as you want) -5x+3x-2=

Answer 1

To ensure the equation has infinite solutions, we need to create a right side of the equation that is equivalent to the left side when simplified.

Starting with the left side:

\[
-5x + 3x - 2 = -2x - 2
\]

Now, to express the right side so that both sides are equal, we can create an expression that simplifies to the left side. A simple way to do this is to use the same expression we have on the left side.

So, we could write:

\[
-5x + 3x - 2 = -2x - 2
\]

We can set the right-hand side as:

\[
-2x - 2
\]

Thus, the complete equation would be:

\[
-5x + 3x - 2 = -2x - 2
\]

This equation has infinite solutions, because any value of \(x\) will satisfy both sides of the equation.