-(3xy-9)+2(5xy+6)=

Solution for -(3xy-9)+2(5xy+6)= equation:

Simplifying
-1(3xy + -9) + 2(5xy + 6) = 0

Reorder the terms:
-1(-9 + 3xy) + 2(5xy + 6) = 0
(-9 * -1 + 3xy * -1) + 2(5xy + 6) = 0
(9 + -3xy) + 2(5xy + 6) = 0

Reorder the terms:
9 + -3xy + 2(6 + 5xy) = 0
9 + -3xy + (6 * 2 + 5xy * 2) = 0
9 + -3xy + (12 + 10xy) = 0

Reorder the terms:
9 + 12 + -3xy + 10xy = 0

Combine like terms: 9 + 12 = 21
21 + -3xy + 10xy = 0

Combine like terms: -3xy + 10xy = 7xy
21 + 7xy = 0

Solving
21 + 7xy = 0

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 7xy = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 7xy = 0 + -21
7xy = 0 + -21

Combine like terms: 0 + -21 = -21
7xy = -21

Divide each side by '7y'.
x = -3y-1

Simplifying
x = -3y-1