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

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

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

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

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

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

Solving
9x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9x + -3x = 6 + 3x + -3x

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

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

Divide each side by '6'.
x = 1

Simplifying
x = 1