5(x+6)=5x+?

What can you replace the ? with to create an equation with INFINITE SOLUTIONS?

1 answer

To create an equation with infinite solutions, both sides of the equation must be equivalent expressions. Let's simplify the left side of the equation:

Starting with the equation:

\[ 5(x + 6) = 5x + ? \]

Distributing the 5 on the left side:

\[ 5x + 30 = 5x + ? \]

For the two sides of the equation to be equal, the value of '?' must equal 30. Therefore, we can replace '?' with 30:

\[ 5(x + 6) = 5x + 30 \]

This way, both sides of the equation are equivalent, resulting in an equation with infinite solutions. So, the value to replace '?' with is:

\[ \boxed{30} \]

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