3(2n-1)=2(-4n+1)

Solution for 3(2n-1)=2(-4n+1) equation:

Simplifying
3(2n + -1) = 2(-4n + 1)

Reorder the terms:
3(-1 + 2n) = 2(-4n + 1)
(-1 * 3 + 2n * 3) = 2(-4n + 1)
(-3 + 6n) = 2(-4n + 1)

Reorder the terms:
-3 + 6n = 2(1 + -4n)
-3 + 6n = (1 * 2 + -4n * 2)
-3 + 6n = (2 + -8n)

Solving
-3 + 6n = 2 + -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 = 2 + -8n + 8n

Combine like terms: 6n + 8n = 14n
-3 + 14n = 2 + -8n + 8n

Combine like terms: -8n + 8n = 0
-3 + 14n = 2 + 0
-3 + 14n = 2

Add '3' to each side of the equation.
-3 + 3 + 14n = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 14n = 2 + 3
14n = 2 + 3

Combine like terms: 2 + 3 = 5
14n = 5

Divide each side by '14'.
n = 0.3571428571

Simplifying
n = 0.3571428571