4n+2=3(2n-3)+9

Solution for 4n+2=3(2n-3)+9 equation:

Simplifying
4n + 2 = 3(2n + -3) + 9

Reorder the terms:
2 + 4n = 3(2n + -3) + 9

Reorder the terms:
2 + 4n = 3(-3 + 2n) + 9
2 + 4n = (-3 * 3 + 2n * 3) + 9
2 + 4n = (-9 + 6n) + 9

Reorder the terms:
2 + 4n = -9 + 9 + 6n

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

Solving
2 + 4n = 6n

Solving for variable 'n'.

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

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

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

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

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

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

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

Divide each side by '-2'.
n = 1

Simplifying
n = 1