6(n-5)-(2-3n)=8n

Solution for 6(n-5)-(2-3n)=8n equation:

Simplifying
6(n + -5) + -1(2 + -3n) = 8n

Reorder the terms:
6(-5 + n) + -1(2 + -3n) = 8n
(-5 * 6 + n * 6) + -1(2 + -3n) = 8n
(-30 + 6n) + -1(2 + -3n) = 8n
-30 + 6n + (2 * -1 + -3n * -1) = 8n
-30 + 6n + (-2 + 3n) = 8n

Reorder the terms:
-30 + -2 + 6n + 3n = 8n

Combine like terms: -30 + -2 = -32
-32 + 6n + 3n = 8n

Combine like terms: 6n + 3n = 9n
-32 + 9n = 8n

Solving
-32 + 9n = 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-32 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-32 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-32 + 1n = 0

Add '32' to each side of the equation.
-32 + 32 + 1n = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 1n = 0 + 32
1n = 0 + 32

Combine like terms: 0 + 32 = 32
1n = 32

Divide each side by '1'.
n = 32

Simplifying
n = 32