2(3-x)=3(2x+18)

Solution for 2(3-x)=3(2x+18) equation:

Simplifying
2(3 + -1x) = 3(2x + 18)
(3 * 2 + -1x * 2) = 3(2x + 18)
(6 + -2x) = 3(2x + 18)

Reorder the terms:
6 + -2x = 3(18 + 2x)
6 + -2x = (18 * 3 + 2x * 3)
6 + -2x = (54 + 6x)

Solving
6 + -2x = 54 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + -2x + -6x = 54 + 6x + -6x

Combine like terms: -2x + -6x = -8x
6 + -8x = 54 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -8x = 54 + 0
6 + -8x = 54

Add '-6' to each side of the equation.
6 + -6 + -8x = 54 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 54 + -6
-8x = 54 + -6

Combine like terms: 54 + -6 = 48
-8x = 48

Divide each side by '-8'.
x = -6

Simplifying
x = -6