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]