3(2n-3)-2(n+4)=3(n+8)

Solution for 3(2n-3)-2(n+4)=3(n+8) equation:

Simplifying
3(2n + -3) + -2(n + 4) = 3(n + 8)

Reorder the terms:
3(-3 + 2n) + -2(n + 4) = 3(n + 8)
(-3 * 3 + 2n * 3) + -2(n + 4) = 3(n + 8)
(-9 + 6n) + -2(n + 4) = 3(n + 8)

Reorder the terms:
-9 + 6n + -2(4 + n) = 3(n + 8)
-9 + 6n + (4 * -2 + n * -2) = 3(n + 8)
-9 + 6n + (-8 + -2n) = 3(n + 8)

Reorder the terms:
-9 + -8 + 6n + -2n = 3(n + 8)

Combine like terms: -9 + -8 = -17
-17 + 6n + -2n = 3(n + 8)

Combine like terms: 6n + -2n = 4n
-17 + 4n = 3(n + 8)

Reorder the terms:
-17 + 4n = 3(8 + n)
-17 + 4n = (8 * 3 + n * 3)
-17 + 4n = (24 + 3n)

Solving
-17 + 4n = 24 + 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.
-17 + 4n + -3n = 24 + 3n + -3n

Combine like terms: 4n + -3n = 1n
-17 + 1n = 24 + 3n + -3n

Combine like terms: 3n + -3n = 0
-17 + 1n = 24 + 0
-17 + 1n = 24

Add '17' to each side of the equation.
-17 + 17 + 1n = 24 + 17

Combine like terms: -17 + 17 = 0
0 + 1n = 24 + 17
1n = 24 + 17

Combine like terms: 24 + 17 = 41
1n = 41

Divide each side by '1'.
n = 41

Simplifying
n = 41