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

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

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

Reorder the terms:
2n + (-1 + n) = n + (7n + 4)

Remove parenthesis around (-1 + n)
2n + -1 + n = n + (7n + 4)

Reorder the terms:
-1 + 2n + n = n + (7n + 4)

Combine like terms: 2n + n = 3n
-1 + 3n = n + (7n + 4)

Reorder the terms:
-1 + 3n = n + (4 + 7n)

Remove parenthesis around (4 + 7n)
-1 + 3n = n + 4 + 7n

Reorder the terms:
-1 + 3n = 4 + n + 7n

Combine like terms: n + 7n = 8n
-1 + 3n = 4 + 8n

Solving
-1 + 3n = 4 + 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.
-1 + 3n + -8n = 4 + 8n + -8n

Combine like terms: 3n + -8n = -5n
-1 + -5n = 4 + 8n + -8n

Combine like terms: 8n + -8n = 0
-1 + -5n = 4 + 0
-1 + -5n = 4

Add '1' to each side of the equation.
-1 + 1 + -5n = 4 + 1

Combine like terms: -1 + 1 = 0
0 + -5n = 4 + 1
-5n = 4 + 1

Combine like terms: 4 + 1 = 5
-5n = 5

Divide each side by '-5'.
n = -1

Simplifying
n = -1