(4n+6)-(2n-3)=

Solution for (4n+6)-(2n-3)= equation:

Simplifying
(4n + 6) + -1(2n + -3) = 0

Reorder the terms:
(6 + 4n) + -1(2n + -3) = 0

Remove parenthesis around (6 + 4n)
6 + 4n + -1(2n + -3) = 0

Reorder the terms:
6 + 4n + -1(-3 + 2n) = 0
6 + 4n + (-3 * -1 + 2n * -1) = 0
6 + 4n + (3 + -2n) = 0

Reorder the terms:
6 + 3 + 4n + -2n = 0

Combine like terms: 6 + 3 = 9
9 + 4n + -2n = 0

Combine like terms: 4n + -2n = 2n
9 + 2n = 0

Solving
9 + 2n = 0

Solving for variable 'n'.

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

Add '-9' to each side of the equation.
9 + -9 + 2n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2n = 0 + -9
2n = 0 + -9

Combine like terms: 0 + -9 = -9
2n = -9

Divide each side by '2'.
n = -4.5

Simplifying
n = -4.5