Question

add to both sides :add what to both sides?
x + 6.7 + \boxed{} = 7.5 + \boxed{}

Explanation:

Step1: Identify the goal

We want to isolate \( x \) in the equation. The left side has \( +6.7 \), so we need to add the opposite of \( 6.7 \) (which is \( -6.7 \)) to both sides to cancel out the \( 6.7 \) on the left.

Step2: Apply the addition

To keep the equation balanced, we add \( -6.7 \) (or subtract \( 6.7 \)) to both sides. So we add \( -6.7 \) to both sides of the equation \( x + 6.7 = 7.5 \).
So the equation becomes \( x + 6.7 + (-6.7)=7.5+(-6.7) \) (or \( x + 6.7 - 6.7 = 7.5 - 6.7 \)).

Answer:

The value to add to both sides is \(-6.7\) (or \( -6.7 \) can be written as subtracting \( 6.7 \), but in the box we put \(-6.7\)). So the first box and the second box both have \(-6.7\).