4n-3=2n+6

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

Simplifying
4n + -3 = 2n + 6

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

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

Solving
-3 + 4n = 6 + 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.
-3 + 4n + -2n = 6 + 2n + -2n

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

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

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

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

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

Divide each side by '2'.
n = 4.5

Simplifying
n = 4.5