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

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

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

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

Remove parenthesis around (2n)
3 + 8n = 3 * 2n + -1

Multiply 3 * 2
3 + 8n = 6n + -1

Reorder the terms:
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