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

Solution for 6(x+1)=5(x-1) equation:

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

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

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

Solving
6 + 6x = -5 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -5 + -6 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11