8n-10+n+4=2n+3+3(2n-1)

Solution for 8n-10+n+4=2n+3+3(2n-1) equation:

Simplifying
8n + -10 + n + 4 = 2n + 3 + 3(2n + -1)

Reorder the terms:
-10 + 4 + 8n + n = 2n + 3 + 3(2n + -1)

Combine like terms: -10 + 4 = -6
-6 + 8n + n = 2n + 3 + 3(2n + -1)

Combine like terms: 8n + n = 9n
-6 + 9n = 2n + 3 + 3(2n + -1)

Reorder the terms:
-6 + 9n = 2n + 3 + 3(-1 + 2n)
-6 + 9n = 2n + 3 + (-1 * 3 + 2n * 3)
-6 + 9n = 2n + 3 + (-3 + 6n)

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

Combine like terms: 3 + -3 = 0
-6 + 9n = 0 + 2n + 6n
-6 + 9n = 2n + 6n

Combine like terms: 2n + 6n = 8n
-6 + 9n = 8n

Solving
-6 + 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.
-6 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-6 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-6 + 1n = 0

Add '6' to each side of the equation.
-6 + 6 + 1n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = 0 + 6
1n = 0 + 6

Combine like terms: 0 + 6 = 6
1n = 6

Divide each side by '1'.
n = 6

Simplifying
n = 6