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

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

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

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

Combine like terms: 3 + -6 = -3
-3 + 2x = 6 + -9(x + -3)

Reorder the terms:
-3 + 2x = 6 + -9(-3 + x)
-3 + 2x = 6 + (-3 * -9 + x * -9)
-3 + 2x = 6 + (27 + -9x)

Combine like terms: 6 + 27 = 33
-3 + 2x = 33 + -9x

Solving
-3 + 2x = 33 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-3 + 2x + 9x = 33 + -9x + 9x

Combine like terms: 2x + 9x = 11x
-3 + 11x = 33 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 11x = 33 + 0
-3 + 11x = 33

Add '3' to each side of the equation.
-3 + 3 + 11x = 33 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 33 + 3
11x = 33 + 3

Combine like terms: 33 + 3 = 36
11x = 36

Divide each side by '11'.
x = 3.272727273

Simplifying
x = 3.272727273