9n-3=8n+2(n+3)

Solution for 9n-3=8n+2(n+3) equation:

Simplifying
9n + -3 = 8n + 2(n + 3)

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

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

Reorder the terms:
-3 + 9n = 6 + 8n + 2n

Combine like terms: 8n + 2n = 10n
-3 + 9n = 6 + 10n

Solving
-3 + 9n = 6 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-3 + 9n + -10n = 6 + 10n + -10n

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

Combine like terms: 10n + -10n = 0
-3 + -1n = 6 + 0
-3 + -1n = 6

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

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

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

Divide each side by '-1'.
n = -9

Simplifying
n = -9