3(2n+1)-2(3-n)=53

Solution for 3(2n+1)-2(3-n)=53 equation:

Simplifying
3(2n + 1) + -2(3 + -1n) = 53

Reorder the terms:
3(1 + 2n) + -2(3 + -1n) = 53
(1 * 3 + 2n * 3) + -2(3 + -1n) = 53
(3 + 6n) + -2(3 + -1n) = 53
3 + 6n + (3 * -2 + -1n * -2) = 53
3 + 6n + (-6 + 2n) = 53

Reorder the terms:
3 + -6 + 6n + 2n = 53

Combine like terms: 3 + -6 = -3
-3 + 6n + 2n = 53

Combine like terms: 6n + 2n = 8n
-3 + 8n = 53

Solving
-3 + 8n = 53

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 8n = 53 + 3

Combine like terms: -3 + 3 = 0
0 + 8n = 53 + 3
8n = 53 + 3

Combine like terms: 53 + 3 = 56
8n = 56

Divide each side by '8'.
n = 7

Simplifying
n = 7