(7a+3)-(6a+5)=5

Solution for (7a+3)-(6a+5)=5 equation:

Simplifying
(7a + 3) + -1(6a + 5) = 5

Reorder the terms:
(3 + 7a) + -1(6a + 5) = 5

Remove parenthesis around (3 + 7a)
3 + 7a + -1(6a + 5) = 5

Reorder the terms:
3 + 7a + -1(5 + 6a) = 5
3 + 7a + (5 * -1 + 6a * -1) = 5
3 + 7a + (-5 + -6a) = 5

Reorder the terms:
3 + -5 + 7a + -6a = 5

Combine like terms: 3 + -5 = -2
-2 + 7a + -6a = 5

Combine like terms: 7a + -6a = 1a
-2 + 1a = 5

Solving
-2 + 1a = 5

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 1a = 5 + 2

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

Combine like terms: 5 + 2 = 7
1a = 7

Divide each side by '1'.
a = 7

Simplifying
a = 7