3(8)=2x(3x)

Solution for 3(8)=2x(3x) equation:

Simplifying
3(8) = 2x(3x)

Multiply 3 * 8
24 = 2x(3x)

Remove parenthesis around (3x)
24 = 2x * 3x

Reorder the terms for easier multiplication:
24 = 2 * 3x * x

Multiply 2 * 3
24 = 6x * x

Multiply x * x
24 = 6x2

Solving
24 = 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
24 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
24 + -6x2 = 0

Add '-24' to each side of the equation.
24 + -24 + -6x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -6x2 = 0 + -24
-6x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-6x2 = -24

Divide each side by '-6'.
x2 = 4

Simplifying
x2 = 4

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