(14a+6)-(12a+5)=

Solution for (14a+6)-(12a+5)= equation:

Simplifying
(14a + 6) + -1(12a + 5) = 0

Reorder the terms:
(6 + 14a) + -1(12a + 5) = 0

Remove parenthesis around (6 + 14a)
6 + 14a + -1(12a + 5) = 0

Reorder the terms:
6 + 14a + -1(5 + 12a) = 0
6 + 14a + (5 * -1 + 12a * -1) = 0
6 + 14a + (-5 + -12a) = 0

Reorder the terms:
6 + -5 + 14a + -12a = 0

Combine like terms: 6 + -5 = 1
1 + 14a + -12a = 0

Combine like terms: 14a + -12a = 2a
1 + 2a = 0

Solving
1 + 2a = 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 + 2a = 0 + -1

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

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

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5