3(x+2)-9(x-3)=6(x+1)

Solution for 3(x+2)-9(x-3)=6(x+1) equation:

Simplifying
3(x + 2) + -9(x + -3) = 6(x + 1)

Reorder the terms:
3(2 + x) + -9(x + -3) = 6(x + 1)
(2 * 3 + x * 3) + -9(x + -3) = 6(x + 1)
(6 + 3x) + -9(x + -3) = 6(x + 1)

Reorder the terms:
6 + 3x + -9(-3 + x) = 6(x + 1)
6 + 3x + (-3 * -9 + x * -9) = 6(x + 1)
6 + 3x + (27 + -9x) = 6(x + 1)

Reorder the terms:
6 + 27 + 3x + -9x = 6(x + 1)

Combine like terms: 6 + 27 = 33
33 + 3x + -9x = 6(x + 1)

Combine like terms: 3x + -9x = -6x
33 + -6x = 6(x + 1)

Reorder the terms:
33 + -6x = 6(1 + x)
33 + -6x = (1 * 6 + x * 6)
33 + -6x = (6 + 6x)

Solving
33 + -6x = 6 + 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.
33 + -6x + -6x = 6 + 6x + -6x

Combine like terms: -6x + -6x = -12x
33 + -12x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
33 + -12x = 6 + 0
33 + -12x = 6

Add '-33' to each side of the equation.
33 + -33 + -12x = 6 + -33

Combine like terms: 33 + -33 = 0
0 + -12x = 6 + -33
-12x = 6 + -33

Combine like terms: 6 + -33 = -27
-12x = -27

Divide each side by '-12'.
x = 2.25

Simplifying
x = 2.25