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

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

Simplifying
2(y + x) + 3(y + -1x) = 0

Reorder the terms:
2(x + y) + 3(y + -1x) = 0
(x * 2 + y * 2) + 3(y + -1x) = 0
(2x + 2y) + 3(y + -1x) = 0

Reorder the terms:
2x + 2y + 3(-1x + y) = 0
2x + 2y + (-1x * 3 + y * 3) = 0
2x + 2y + (-3x + 3y) = 0

Reorder the terms:
2x + -3x + 2y + 3y = 0

Combine like terms: 2x + -3x = -1x
-1x + 2y + 3y = 0

Combine like terms: 2y + 3y = 5y
-1x + 5y = 0

Solving
-1x + 5y = 0

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 0 + -5y
-1x = 0 + -5y
Remove the zero:
-1x = -5y

Divide each side by '-1'.
x = 5y

Simplifying
x = 5y