7(2n-5)=(6n+1)+4

Solution for 7(2n-5)=(6n+1)+4 equation:

Simplifying
7(2n + -5) = (6n + 1) + 4

Reorder the terms:
7(-5 + 2n) = (6n + 1) + 4
(-5 * 7 + 2n * 7) = (6n + 1) + 4
(-35 + 14n) = (6n + 1) + 4

Reorder the terms:
-35 + 14n = (1 + 6n) + 4

Remove parenthesis around (1 + 6n)
-35 + 14n = 1 + 6n + 4

Reorder the terms:
-35 + 14n = 1 + 4 + 6n

Combine like terms: 1 + 4 = 5
-35 + 14n = 5 + 6n

Solving
-35 + 14n = 5 + 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.
-35 + 14n + -6n = 5 + 6n + -6n

Combine like terms: 14n + -6n = 8n
-35 + 8n = 5 + 6n + -6n

Combine like terms: 6n + -6n = 0
-35 + 8n = 5 + 0
-35 + 8n = 5

Add '35' to each side of the equation.
-35 + 35 + 8n = 5 + 35

Combine like terms: -35 + 35 = 0
0 + 8n = 5 + 35
8n = 5 + 35

Combine like terms: 5 + 35 = 40
8n = 40

Divide each side by '8'.
n = 5

Simplifying
n = 5