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

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

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

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

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

Solving
-3 + 9x = -6 + -2X

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 + 9x = -6 + 3 + -2X

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

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

Divide each side by '9'.
x = -0.3333333333 + -0.2222222222X

Simplifying
x = -0.3333333333 + -0.2222222222X