Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve and explain why it has an infinite number of solutions

4 (x - 2) + x = 5x + 8

Step-by-step explanation:

In an equation with a single variable, if that variable value is any integer divided by zero then it will have infinite numbers of solutions.

Example

4 (x - 2) + x = 5x + 8

To solve this, we need to rearrange like terms to the same side.

4x - 8 + x = 5x + 8

4x + x - 5x = 8 - 8

5x - 5x = 0

x (5-5) = 0

x (0) = 0

x = 0 / 0

x = ∞

Since zero is in denominator, it means that the equation has infinite number of solutions.