3(x+3y)-4(2x-5y)=

Solution for 3(x+3y)-4(2x-5y)= equation:

Simplifying
3(x + 3y) + -4(2x + -5y) = 0
(x * 3 + 3y * 3) + -4(2x + -5y) = 0
(3x + 9y) + -4(2x + -5y) = 0
3x + 9y + (2x * -4 + -5y * -4) = 0
3x + 9y + (-8x + 20y) = 0

Reorder the terms:
3x + -8x + 9y + 20y = 0

Combine like terms: 3x + -8x = -5x
-5x + 9y + 20y = 0

Combine like terms: 9y + 20y = 29y
-5x + 29y = 0

Solving
-5x + 29y = 0

Solving for variable 'x'.

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

Add '-29y' to each side of the equation.
-5x + 29y + -29y = 0 + -29y

Combine like terms: 29y + -29y = 0
-5x + 0 = 0 + -29y
-5x = 0 + -29y
Remove the zero:
-5x = -29y

Divide each side by '-5'.
x = 5.8y

Simplifying
x = 5.8y