(4a+1)-(3a+6)=

Solution for (4a+1)-(3a+6)= equation:

Simplifying
(4a + 1) + -1(3a + 6) = 0

Reorder the terms:
(1 + 4a) + -1(3a + 6) = 0

Remove parenthesis around (1 + 4a)
1 + 4a + -1(3a + 6) = 0

Reorder the terms:
1 + 4a + -1(6 + 3a) = 0
1 + 4a + (6 * -1 + 3a * -1) = 0
1 + 4a + (-6 + -3a) = 0

Reorder the terms:
1 + -6 + 4a + -3a = 0

Combine like terms: 1 + -6 = -5
-5 + 4a + -3a = 0

Combine like terms: 4a + -3a = 1a
-5 + 1a = 0

Solving
-5 + 1a = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 1a = 0 + 5

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

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

Divide each side by '1'.
a = 5

Simplifying
a = 5