n*8-105=n*3-10

Solution for n*8-105=n*3-10 equation:

Simplifying
n * 8 + -105 = n * 3 + -10

Reorder the terms for easier multiplication:
8n + -105 = n * 3 + -10

Reorder the terms:
-105 + 8n = n * 3 + -10

Reorder the terms for easier multiplication:
-105 + 8n = 3n + -10

Reorder the terms:
-105 + 8n = -10 + 3n

Solving
-105 + 8n = -10 + 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.
-105 + 8n + -3n = -10 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-105 + 5n = -10 + 3n + -3n

Combine like terms: 3n + -3n = 0
-105 + 5n = -10 + 0
-105 + 5n = -10

Add '105' to each side of the equation.
-105 + 105 + 5n = -10 + 105

Combine like terms: -105 + 105 = 0
0 + 5n = -10 + 105
5n = -10 + 105

Combine like terms: -10 + 105 = 95
5n = 95

Divide each side by '5'.
n = 19

Simplifying
n = 19