10n+3-2n=3(2n+3)-10

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

Simplifying
10n + 3 + -2n = 3(2n + 3) + -10

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

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

Reorder the terms:
3 + 8n = 3(3 + 2n) + -10
3 + 8n = (3 * 3 + 2n * 3) + -10
3 + 8n = (9 + 6n) + -10

Reorder the terms:
3 + 8n = 9 + -10 + 6n

Combine like terms: 9 + -10 = -1
3 + 8n = -1 + 6n

Solving
3 + 8n = -1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
3 + 8n + -6n = -1 + 6n + -6n

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

Combine like terms: 6n + -6n = 0
3 + 2n = -1 + 0
3 + 2n = -1

Add '-3' to each side of the equation.
3 + -3 + 2n = -1 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = -1 + -3
2n = -1 + -3

Combine like terms: -1 + -3 = -4
2n = -4

Divide each side by '2'.
n = -2

Simplifying
n = -2