7(x+3y)+4(2x-3y)=

Solution for 7(x+3y)+4(2x-3y)= equation:

Simplifying
7(x + 3y) + 4(2x + -3y) = 0
(x * 7 + 3y * 7) + 4(2x + -3y) = 0
(7x + 21y) + 4(2x + -3y) = 0
7x + 21y + (2x * 4 + -3y * 4) = 0
7x + 21y + (8x + -12y) = 0

Reorder the terms:
7x + 8x + 21y + -12y = 0

Combine like terms: 7x + 8x = 15x
15x + 21y + -12y = 0

Combine like terms: 21y + -12y = 9y
15x + 9y = 0

Solving
15x + 9y = 0

Solving for variable 'x'.

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

Add '-9y' to each side of the equation.
15x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
15x + 0 = 0 + -9y
15x = 0 + -9y
Remove the zero:
15x = -9y

Divide each side by '15'.
x = -0.6y

Simplifying
x = -0.6y