4(2n-1)-(5n+2)=

Solution for 4(2n-1)-(5n+2)= equation:

Simplifying
4(2n + -1) + -1(5n + 2) = 0

Reorder the terms:
4(-1 + 2n) + -1(5n + 2) = 0
(-1 * 4 + 2n * 4) + -1(5n + 2) = 0
(-4 + 8n) + -1(5n + 2) = 0

Reorder the terms:
-4 + 8n + -1(2 + 5n) = 0
-4 + 8n + (2 * -1 + 5n * -1) = 0
-4 + 8n + (-2 + -5n) = 0

Reorder the terms:
-4 + -2 + 8n + -5n = 0

Combine like terms: -4 + -2 = -6
-6 + 8n + -5n = 0

Combine like terms: 8n + -5n = 3n
-6 + 3n = 0

Solving
-6 + 3n = 0

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 3n = 0 + 6

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

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

Divide each side by '3'.
n = 2

Simplifying
n = 2