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

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

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

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

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

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

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

Combine like terms: 2x + -3x = -1x
3 + -1x = 9

Solving
3 + -1x = 9

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 9 + -3
-1x = 9 + -3

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6