3(2n-1)=8n+5

Solution for 3(2n-1)=8n+5 equation:

Simplifying
3(2n + -1) = 8n + 5

Reorder the terms:
3(-1 + 2n) = 8n + 5
(-1 * 3 + 2n * 3) = 8n + 5
(-3 + 6n) = 8n + 5

Reorder the terms:
-3 + 6n = 5 + 8n

Solving
-3 + 6n = 5 + 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.
-3 + 6n + -8n = 5 + 8n + -8n

Combine like terms: 6n + -8n = -2n
-3 + -2n = 5 + 8n + -8n

Combine like terms: 8n + -8n = 0
-3 + -2n = 5 + 0
-3 + -2n = 5

Add '3' to each side of the equation.
-3 + 3 + -2n = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -2n = 5 + 3
-2n = 5 + 3

Combine like terms: 5 + 3 = 8
-2n = 8

Divide each side by '-2'.
n = -4

Simplifying
n = -4