3[2(x+y)-3(5x-2y)]=

Solution for 3[2(x+y)-3(5x-2y)]= equation:

Simplifying
3[2(x + y) + -3(5x + -2y)] = 0
3[(x * 2 + y * 2) + -3(5x + -2y)] = 0
3[(2x + 2y) + -3(5x + -2y)] = 0
3[2x + 2y + (5x * -3 + -2y * -3)] = 0
3[2x + 2y + (-15x + 6y)] = 0

Reorder the terms:
3[2x + -15x + 2y + 6y] = 0

Combine like terms: 2x + -15x = -13x
3[-13x + 2y + 6y] = 0

Combine like terms: 2y + 6y = 8y
3[-13x + 8y] = 0
[-13x * 3 + 8y * 3] = 0
[-39x + 24y] = 0

Solving
-39x + 24y = 0

Solving for variable 'x'.

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

Add '-24y' to each side of the equation.
-39x + 24y + -24y = 0 + -24y

Combine like terms: 24y + -24y = 0
-39x + 0 = 0 + -24y
-39x = 0 + -24y
Remove the zero:
-39x = -24y

Divide each side by '-39'.
x = 0.6153846154y

Simplifying
x = 0.6153846154y