(5a+15)-(4a+16)=5

Solution for (5a+15)-(4a+16)=5 equation:

Simplifying
(5a + 15) + -1(4a + 16) = 5

Reorder the terms:
(15 + 5a) + -1(4a + 16) = 5

Remove parenthesis around (15 + 5a)
15 + 5a + -1(4a + 16) = 5

Reorder the terms:
15 + 5a + -1(16 + 4a) = 5
15 + 5a + (16 * -1 + 4a * -1) = 5
15 + 5a + (-16 + -4a) = 5

Reorder the terms:
15 + -16 + 5a + -4a = 5

Combine like terms: 15 + -16 = -1
-1 + 5a + -4a = 5

Combine like terms: 5a + -4a = 1a
-1 + 1a = 5

Solving
-1 + 1a = 5

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 1a = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 1a = 5 + 1
1a = 5 + 1

Combine like terms: 5 + 1 = 6
1a = 6

Divide each side by '1'.
a = 6

Simplifying
a = 6