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

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Solution for (2x+3y)-(4x-5y)=0 equation:


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

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

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

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

Combine like terms: 3y + 5y = 8y
-2x + 8y = 0

Solving
-2x + 8y = 0

Solving for variable 'x'.

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

Add '-8y' to each side of the equation.
-2x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-2x + 0 = 0 + -8y
-2x = 0 + -8y
Remove the zero:
-2x = -8y

Divide each side by '-2'.
x = 4y

Simplifying
x = 4y

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