(3a+5)-(2a+6)=

Solution for (3a+5)-(2a+6)= equation:

Simplifying
(3a + 5) + -1(2a + 6) = 0

Reorder the terms:
(5 + 3a) + -1(2a + 6) = 0

Remove parenthesis around (5 + 3a)
5 + 3a + -1(2a + 6) = 0

Reorder the terms:
5 + 3a + -1(6 + 2a) = 0
5 + 3a + (6 * -1 + 2a * -1) = 0
5 + 3a + (-6 + -2a) = 0

Reorder the terms:
5 + -6 + 3a + -2a = 0

Combine like terms: 5 + -6 = -1
-1 + 3a + -2a = 0

Combine like terms: 3a + -2a = 1a
-1 + 1a = 0

Solving
-1 + 1a = 0

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 = 0 + 1

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

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

Divide each side by '1'.
a = 1

Simplifying
a = 1