To create an equation that has infinite solutions, both sides of the equation must be identical. This means that whatever expression you create on the left side should match the right side when simplified.
Starting with the left side: \[ 4x + 10 \]
To make it equal to something on the right side, you can use the same expression, modified to keep it equal:
Let’s say you want the right side to be: \[ 4x + 10 = 4x + 10 \]
Therefore, you can write: \[ 4x + 10 = x + 10 + 3x \]
This way, you have: \[ 4x + 10 = 4x + 10 \] Both sides are equal, thus creating an equation with infinite solutions.
You can also choose other valid forms, but the core concept is ensuring both sides remain equal.
So, completing the equation: \( 4x + 10 = x + 10 + 3x \) is correct.
Fill in: 4x + 10 = x + 10 + 3x.