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

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


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

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

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

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

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

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

Add '-3y' to each side of the equation.
1x + 3y + -3y = 5 + 2y + -3y

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

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

Divide each side by '1'.
x = 5 + -1y

Simplifying
x = 5 + -1y

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