Answer :

Let's solve the given equation to find the integer that makes the addition sentence true.

We start with the equation:

[tex]\[ x + (-36) = 3 \][/tex]

We need to isolate [tex]\( x \)[/tex] on one side of the equation.

First, add 36 to both sides of the equation to cancel out the [tex]\(-36\)[/tex]. This gives us:

[tex]\[ x + (-36) + 36 = 3 + 36 \][/tex]

Simplifying both sides, we get:

[tex]\[ x = 39 \][/tex]

Therefore, the integer that makes the addition sentence true is:

[tex]\[ \boxed{39} \][/tex]