3(3x+1)+2(3-x)=0

Solution for 3(3x+1)+2(3-x)=0 equation:

Simplifying
3(3x + 1) + 2(3 + -1x) = 0

Reorder the terms:
3(1 + 3x) + 2(3 + -1x) = 0
(1 * 3 + 3x * 3) + 2(3 + -1x) = 0
(3 + 9x) + 2(3 + -1x) = 0
3 + 9x + (3 * 2 + -1x * 2) = 0
3 + 9x + (6 + -2x) = 0

Reorder the terms:
3 + 6 + 9x + -2x = 0

Combine like terms: 3 + 6 = 9
9 + 9x + -2x = 0

Combine like terms: 9x + -2x = 7x
9 + 7x = 0

Solving
9 + 7x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 7x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 0 + -9
7x = 0 + -9

Combine like terms: 0 + -9 = -9
7x = -9

Divide each side by '7'.
x = -1.285714286

Simplifying
x = -1.285714286