(5x+9y)-(11x-3y+6)=

Solution for (5x+9y)-(11x-3y+6)= equation:

Simplifying
(5x + 9y) + -1(11x + -3y + 6) = 0

Remove parenthesis around (5x + 9y)
5x + 9y + -1(11x + -3y + 6) = 0

Reorder the terms:
5x + 9y + -1(6 + 11x + -3y) = 0
5x + 9y + (6 * -1 + 11x * -1 + -3y * -1) = 0
5x + 9y + (-6 + -11x + 3y) = 0

Reorder the terms:
-6 + 5x + -11x + 9y + 3y = 0

Combine like terms: 5x + -11x = -6x
-6 + -6x + 9y + 3y = 0

Combine like terms: 9y + 3y = 12y
-6 + -6x + 12y = 0

Solving
-6 + -6x + 12y = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + -6x + 6 + 12y = 0 + 6

Reorder the terms:
-6 + 6 + -6x + 12y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -6x + 12y = 0 + 6
-6x + 12y = 0 + 6

Combine like terms: 0 + 6 = 6
-6x + 12y = 6

Add '-12y' to each side of the equation.
-6x + 12y + -12y = 6 + -12y

Combine like terms: 12y + -12y = 0
-6x + 0 = 6 + -12y
-6x = 6 + -12y

Divide each side by '-6'.
x = -1 + 2y

Simplifying
x = -1 + 2y