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

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

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

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

Reorder the terms:
-6 + 2x + 3y = -6 + 10x + 5y

Add '6' to each side of the equation.
-6 + 2x + 6 + 3y = -6 + 10x + 6 + 5y

Reorder the terms:
-6 + 6 + 2x + 3y = -6 + 10x + 6 + 5y

Combine like terms: -6 + 6 = 0
0 + 2x + 3y = -6 + 10x + 6 + 5y
2x + 3y = -6 + 10x + 6 + 5y

Reorder the terms:
2x + 3y = -6 + 6 + 10x + 5y

Combine like terms: -6 + 6 = 0
2x + 3y = 0 + 10x + 5y
2x + 3y = 10x + 5y

Solving
2x + 3y = 10x + 5y

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2x + -10x + 3y = 10x + -10x + 5y

Combine like terms: 2x + -10x = -8x
-8x + 3y = 10x + -10x + 5y

Combine like terms: 10x + -10x = 0
-8x + 3y = 0 + 5y
-8x + 3y = 5y

Add '-3y' to each side of the equation.
-8x + 3y + -3y = 5y + -3y

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

Combine like terms: 5y + -3y = 2y
-8x = 2y

Divide each side by '-8'.
x = -0.25y

Simplifying
x = -0.25y