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

Solution for (6a+3)-(5a+1)= equation:

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

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

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

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

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

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

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

Solving
2 + 1a = 0

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 = 0 + -2

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

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

Divide each side by '1'.
a = -2

Simplifying
a = -2