6(x+1)=4(x-1)

Solution for 6(x+1)=4(x-1) equation:

Simplifying
6(x + 1) = 4(x + -1)

Reorder the terms:
6(1 + x) = 4(x + -1)
(1 * 6 + x * 6) = 4(x + -1)
(6 + 6x) = 4(x + -1)

Reorder the terms:
6 + 6x = 4(-1 + x)
6 + 6x = (-1 * 4 + x * 4)
6 + 6x = (-4 + 4x)

Solving
6 + 6x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 6x + -4x = -4 + 4x + -4x

Combine like terms: 6x + -4x = 2x
6 + 2x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 2x = -4 + 0
6 + 2x = -4

Add '-6' to each side of the equation.
6 + -6 + 2x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -4 + -6
2x = -4 + -6

Combine like terms: -4 + -6 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5