6(x+1)=(x-1)

Solution for 6(x+1)=(x-1) equation:

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

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

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

Remove parenthesis around (-1 + x)
6 + 6x = -1 + x

Solving
6 + 6x = -1 + x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -1 + -6 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4