(x+2)(3x)=(2+x)(6)

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

Simplifying
(x + 2)(3x) = (2 + x)(6)

Reorder the terms:
(2 + x)(3x) = (2 + x)(6)

Remove parenthesis around (3x)
(2 + x) * 3x = (2 + x)(6)

Reorder the terms for easier multiplication:
3x(2 + x) = (2 + x)(6)
(2 * 3x + x * 3x) = (2 + x)(6)
(6x + 3x2) = (2 + x)(6)

Reorder the terms for easier multiplication:
6x + 3x2 = 6(2 + x)
6x + 3x2 = (2 * 6 + x * 6)
6x + 3x2 = (12 + 6x)

Add '-6x' to each side of the equation.
6x + -6x + 3x2 = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
0 + 3x2 = 12 + 6x + -6x
3x2 = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
3x2 = 12 + 0
3x2 = 12

Solving
3x2 = 12

Solving for variable 'x'.

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

Divide each side by '3'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}