Question

add to both sides : add what to both sides?
-8 + \frac{x}{3} + \square = -10 + \square

Explanation:

Step1: Identify the goal

We want to isolate the term with \( x \) (which is \( \frac{x}{3} \)) by getting rid of the \(-8\) on the left side. To do this, we use the addition property of equality, which states that if we add the same number to both sides of an equation, the equation remains balanced.

Step2: Determine the number to add

The number we need to add to both sides is the opposite of \(-8\) to cancel it out. The opposite of \(-8\) is \( 8 \), because \(-8 + 8 = 0\). So we add \( 8 \) to both sides.

So the equation becomes:
\(-8 + \frac{x}{3} + 8 = -10 + 8\)

Answer:

We add \( 8 \) to both sides. So the blanks should be filled with \( 8 \) (both in the left - hand side's blank and the right - hand side's blank).