4(n-5)+3n-6=3(n+2)

Solution for 4(n-5)+3n-6=3(n+2) equation:

Simplifying
4(n + -5) + 3n + -6 = 3(n + 2)

Reorder the terms:
4(-5 + n) + 3n + -6 = 3(n + 2)
(-5 * 4 + n * 4) + 3n + -6 = 3(n + 2)
(-20 + 4n) + 3n + -6 = 3(n + 2)

Reorder the terms:
-20 + -6 + 4n + 3n = 3(n + 2)

Combine like terms: -20 + -6 = -26
-26 + 4n + 3n = 3(n + 2)

Combine like terms: 4n + 3n = 7n
-26 + 7n = 3(n + 2)

Reorder the terms:
-26 + 7n = 3(2 + n)
-26 + 7n = (2 * 3 + n * 3)
-26 + 7n = (6 + 3n)

Solving
-26 + 7n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-26 + 7n + -3n = 6 + 3n + -3n

Combine like terms: 7n + -3n = 4n
-26 + 4n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-26 + 4n = 6 + 0
-26 + 4n = 6

Add '26' to each side of the equation.
-26 + 26 + 4n = 6 + 26

Combine like terms: -26 + 26 = 0
0 + 4n = 6 + 26
4n = 6 + 26

Combine like terms: 6 + 26 = 32
4n = 32

Divide each side by '4'.
n = 8

Simplifying
n = 8