2x+5y=4x-3y

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


Simplifying
2x + 5y = 4x + -3y

Solving
2x + 5y = 4x + -3y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x + 5y = 4x + -4x + -3y

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

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

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

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

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

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

Simplifying
x = 4y

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