2(x-3)+3(y-5)=0

Solution for 2(x-3)+3(y-5)=0 equation:

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

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

Reorder the terms:
-6 + 2x + 3(-5 + y) = 0
-6 + 2x + (-5 * 3 + y * 3) = 0
-6 + 2x + (-15 + 3y) = 0

Reorder the terms:
-6 + -15 + 2x + 3y = 0

Combine like terms: -6 + -15 = -21
-21 + 2x + 3y = 0

Solving
-21 + 2x + 3y = 0

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 2x + 21 + 3y = 0 + 21

Reorder the terms:
-21 + 21 + 2x + 3y = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 2x + 3y = 0 + 21
2x + 3y = 0 + 21

Combine like terms: 0 + 21 = 21
2x + 3y = 21

Add '-3y' to each side of the equation.
2x + 3y + -3y = 21 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 21 + -3y
2x = 21 + -3y

Divide each side by '2'.
x = 10.5 + -1.5y

Simplifying
x = 10.5 + -1.5y