3(x+9)=2[x-(3-x)]

Solution for 3(x+9)=2[x-(3-x)] equation:

Simplifying
3(x + 9) = 2[x + -1(3 + -1x)]

Reorder the terms:
3(9 + x) = 2[x + -1(3 + -1x)]
(9 * 3 + x * 3) = 2[x + -1(3 + -1x)]
(27 + 3x) = 2[x + -1(3 + -1x)]
27 + 3x = 2[x + (3 * -1 + -1x * -1)]
27 + 3x = 2[x + (-3 + 1x)]

Reorder the terms:
27 + 3x = 2[-3 + x + 1x]

Combine like terms: x + 1x = 2x
27 + 3x = 2[-3 + 2x]
27 + 3x = [-3 * 2 + 2x * 2]
27 + 3x = [-6 + 4x]

Solving
27 + 3x = -6 + 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.
27 + 3x + -4x = -6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
27 + -1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
27 + -1x = -6 + 0
27 + -1x = -6

Add '-27' to each side of the equation.
27 + -27 + -1x = -6 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = -6 + -27
-1x = -6 + -27

Combine like terms: -6 + -27 = -33
-1x = -33

Divide each side by '-1'.
x = 33

Simplifying
x = 33