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

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

Simplifying
(-3x + 5y) + -1(-2x + 4y) = 0

Remove parenthesis around (-3x + 5y)
-3x + 5y + -1(-2x + 4y) = 0
-3x + 5y + (-2x * -1 + 4y * -1) = 0
-3x + 5y + (2x + -4y) = 0

Reorder the terms:
-3x + 2x + 5y + -4y = 0

Combine like terms: -3x + 2x = -1x
-1x + 5y + -4y = 0

Combine like terms: 5y + -4y = 1y
-1x + 1y = 0

Solving
-1x + 1y = 0

Solving for variable 'x'.

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

Add '-1y' to each side of the equation.
-1x + 1y + -1y = 0 + -1y

Combine like terms: 1y + -1y = 0
-1x + 0 = 0 + -1y
-1x = 0 + -1y
Remove the zero:
-1x = -1y

Divide each side by '-1'.
x = y

Simplifying
x = y