4n+6=2n-3

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

Simplifying
4n + 6 = 2n + -3

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

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

Solving
6 + 4n = -3 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 4n + -2n = -3 + 2n + -2n

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

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

Add '-6' to each side of the equation.
6 + -6 + 2n = -3 + -6

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

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

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

Simplifying
n = -4.5