2(x+y)-3(-2y+3x)=

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

Simplifying
2(x + y) + -3(-2y + 3x) = 0
(x * 2 + y * 2) + -3(-2y + 3x) = 0
(2x + 2y) + -3(-2y + 3x) = 0

Reorder the terms:
2x + 2y + -3(3x + -2y) = 0
2x + 2y + (3x * -3 + -2y * -3) = 0
2x + 2y + (-9x + 6y) = 0

Reorder the terms:
2x + -9x + 2y + 6y = 0

Combine like terms: 2x + -9x = -7x
-7x + 2y + 6y = 0

Combine like terms: 2y + 6y = 8y
-7x + 8y = 0

Solving
-7x + 8y = 0

Solving for variable 'x'.

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

Add '-8y' to each side of the equation.
-7x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-7x + 0 = 0 + -8y
-7x = 0 + -8y
Remove the zero:
-7x = -8y

Divide each side by '-7'.
x = 1.142857143y

Simplifying
x = 1.142857143y