(4-2x)(1-3x)=6(x+1)(x-1)

Solution for (4-2x)(1-3x)=6(x+1)(x-1) equation:

Simplifying
(4 + -2x)(1 + -3x) = 6(x + 1)(x + -1)

Multiply (4 + -2x) * (1 + -3x)
(4(1 + -3x) + -2x * (1 + -3x)) = 6(x + 1)(x + -1)
((1 * 4 + -3x * 4) + -2x * (1 + -3x)) = 6(x + 1)(x + -1)
((4 + -12x) + -2x * (1 + -3x)) = 6(x + 1)(x + -1)
(4 + -12x + (1 * -2x + -3x * -2x)) = 6(x + 1)(x + -1)
(4 + -12x + (-2x + 6x2)) = 6(x + 1)(x + -1)

Combine like terms: -12x + -2x = -14x
(4 + -14x + 6x2) = 6(x + 1)(x + -1)

Reorder the terms:
4 + -14x + 6x2 = 6(1 + x)(x + -1)

Reorder the terms:
4 + -14x + 6x2 = 6(1 + x)(-1 + x)

Multiply (1 + x) * (-1 + x)
4 + -14x + 6x2 = 6(1(-1 + x) + x(-1 + x))
4 + -14x + 6x2 = 6((-1 * 1 + x * 1) + x(-1 + x))
4 + -14x + 6x2 = 6((-1 + 1x) + x(-1 + x))
4 + -14x + 6x2 = 6(-1 + 1x + (-1 * x + x * x))
4 + -14x + 6x2 = 6(-1 + 1x + (-1x + x2))

Combine like terms: 1x + -1x = 0
4 + -14x + 6x2 = 6(-1 + 0 + x2)
4 + -14x + 6x2 = 6(-1 + x2)
4 + -14x + 6x2 = (-1 * 6 + x2 * 6)
4 + -14x + 6x2 = (-6 + 6x2)

Add '-6x2' to each side of the equation.
4 + -14x + 6x2 + -6x2 = -6 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
4 + -14x + 0 = -6 + 6x2 + -6x2
4 + -14x = -6 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
4 + -14x = -6 + 0
4 + -14x = -6

Solving
4 + -14x = -6

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -14x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -14x = -6 + -4
-14x = -6 + -4

Combine like terms: -6 + -4 = -10
-14x = -10

Divide each side by '-14'.
x = 0.7142857143

Simplifying
x = 0.7142857143