4(2x-6)+3(5y+10)=

Solution for 4(2x-6)+3(5y+10)= equation:

Simplifying
4(2x + -6) + 3(5y + 10) = 0

Reorder the terms:
4(-6 + 2x) + 3(5y + 10) = 0
(-6 * 4 + 2x * 4) + 3(5y + 10) = 0
(-24 + 8x) + 3(5y + 10) = 0

Reorder the terms:
-24 + 8x + 3(10 + 5y) = 0
-24 + 8x + (10 * 3 + 5y * 3) = 0
-24 + 8x + (30 + 15y) = 0

Reorder the terms:
-24 + 30 + 8x + 15y = 0

Combine like terms: -24 + 30 = 6
6 + 8x + 15y = 0

Solving
6 + 8x + 15y = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 8x + -6 + 15y = 0 + -6

Reorder the terms:
6 + -6 + 8x + 15y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 8x + 15y = 0 + -6
8x + 15y = 0 + -6

Combine like terms: 0 + -6 = -6
8x + 15y = -6

Add '-15y' to each side of the equation.
8x + 15y + -15y = -6 + -15y

Combine like terms: 15y + -15y = 0
8x + 0 = -6 + -15y
8x = -6 + -15y

Divide each side by '8'.
x = -0.75 + -1.875y

Simplifying
x = -0.75 + -1.875y