(x+1)+5(x+1)=0

Solution for (x+1)+5(x+1)=0 equation:

Simplifying
(x + 1) + 5(x + 1) = 0

Reorder the terms:
(1 + x) + 5(x + 1) = 0

Remove parenthesis around (1 + x)
1 + x + 5(x + 1) = 0

Reorder the terms:
1 + x + 5(1 + x) = 0
1 + x + (1 * 5 + x * 5) = 0
1 + x + (5 + 5x) = 0

Reorder the terms:
1 + 5 + x + 5x = 0

Combine like terms: 1 + 5 = 6
6 + x + 5x = 0

Combine like terms: x + 5x = 6x
6 + 6x = 0

Solving
6 + 6x = 0

Solving for variable 'x'.

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

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

Combine like terms: 6 + -6 = 0
0 + 6x = 0 + -6
6x = 0 + -6

Combine like terms: 0 + -6 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1