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

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

Simplifying
3(2x + 3y) + -2(5y + -2x) = 0
(2x * 3 + 3y * 3) + -2(5y + -2x) = 0
(6x + 9y) + -2(5y + -2x) = 0

Reorder the terms:
6x + 9y + -2(-2x + 5y) = 0
6x + 9y + (-2x * -2 + 5y * -2) = 0
6x + 9y + (4x + -10y) = 0

Reorder the terms:
6x + 4x + 9y + -10y = 0

Combine like terms: 6x + 4x = 10x
10x + 9y + -10y = 0

Combine like terms: 9y + -10y = -1y
10x + -1y = 0

Solving
10x + -1y = 0

Solving for variable 'x'.

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

Add 'y' to each side of the equation.
10x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
10x + 0 = 0 + y
10x = 0 + y
Remove the zero:
10x = y

Divide each side by '10'.
x = 0.1y

Simplifying
x = 0.1y