(4x+1)(6-2x)=x(4-8x)

Solution for (4x+1)(6-2x)=x(4-8x) equation:

Simplifying
(4x + 1)(6 + -2x) = x(4 + -8x)

Reorder the terms:
(1 + 4x)(6 + -2x) = x(4 + -8x)

Multiply (1 + 4x) * (6 + -2x)
(1(6 + -2x) + 4x * (6 + -2x)) = x(4 + -8x)
((6 * 1 + -2x * 1) + 4x * (6 + -2x)) = x(4 + -8x)
((6 + -2x) + 4x * (6 + -2x)) = x(4 + -8x)
(6 + -2x + (6 * 4x + -2x * 4x)) = x(4 + -8x)
(6 + -2x + (24x + -8x2)) = x(4 + -8x)

Combine like terms: -2x + 24x = 22x
(6 + 22x + -8x2) = x(4 + -8x)
6 + 22x + -8x2 = (4 * x + -8x * x)
6 + 22x + -8x2 = (4x + -8x2)

Add '8x2' to each side of the equation.
6 + 22x + -8x2 + 8x2 = 4x + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
6 + 22x + 0 = 4x + -8x2 + 8x2
6 + 22x = 4x + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
6 + 22x = 4x + 0
6 + 22x = 4x

Solving
6 + 22x = 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 + 22x + -4x = 4x + -4x

Combine like terms: 22x + -4x = 18x
6 + 18x = 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 18x = 0

Add '-6' to each side of the equation.
6 + -6 + 18x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = 0 + -6
18x = 0 + -6

Combine like terms: 0 + -6 = -6
18x = -6

Divide each side by '18'.
x = -0.3333333333

Simplifying
x = -0.3333333333