5-(a+8)=10

Solution for 5-(a+8)=10 equation:

Simplifying
5 + -1(a + 8) = 10

Reorder the terms:
5 + -1(8 + a) = 10
5 + (8 * -1 + a * -1) = 10
5 + (-8 + -1a) = 10

Combine like terms: 5 + -8 = -3
-3 + -1a = 10

Solving
-3 + -1a = 10

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -1a = 10 + 3

Combine like terms: -3 + 3 = 0
0 + -1a = 10 + 3
-1a = 10 + 3

Combine like terms: 10 + 3 = 13
-1a = 13

Divide each side by '-1'.
a = -13

Simplifying
a = -13