5(x+1)+1=1-(x+1)

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

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

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

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

Combine like terms: 5 + 1 = 6
6 + 5x = 1 + -1(x + 1)

Reorder the terms:
6 + 5x = 1 + -1(1 + x)
6 + 5x = 1 + (1 * -1 + x * -1)
6 + 5x = 1 + (-1 + -1x)

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

Solving
6 + 5x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 5x + x = -1x + x

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

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

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