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

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

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

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

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

Solving
-2 + 8n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-2 + 8n + -3n = 6 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
-2 + 5n = 6 + 0
-2 + 5n = 6

Add '2' to each side of the equation.
-2 + 2 + 5n = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 5n = 6 + 2
5n = 6 + 2

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

Divide each side by '5'.
n = 1.6

Simplifying
n = 1.6