-(3xy-10)+3(5xy+8)=

Solution for -(3xy-10)+3(5xy+8)= equation:

Simplifying
-1(3xy + -10) + 3(5xy + 8) = 0

Reorder the terms:
-1(-10 + 3xy) + 3(5xy + 8) = 0
(-10 * -1 + 3xy * -1) + 3(5xy + 8) = 0
(10 + -3xy) + 3(5xy + 8) = 0

Reorder the terms:
10 + -3xy + 3(8 + 5xy) = 0
10 + -3xy + (8 * 3 + 5xy * 3) = 0
10 + -3xy + (24 + 15xy) = 0

Reorder the terms:
10 + 24 + -3xy + 15xy = 0

Combine like terms: 10 + 24 = 34
34 + -3xy + 15xy = 0

Combine like terms: -3xy + 15xy = 12xy
34 + 12xy = 0

Solving
34 + 12xy = 0

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + 12xy = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 12xy = 0 + -34
12xy = 0 + -34

Combine like terms: 0 + -34 = -34
12xy = -34

Divide each side by '12y'.
x = -2.833333333y-1

Simplifying
x = -2.833333333y-1