4x+3y=2x+5y+20

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Solution for 4x+3y=2x+5y+20 equation:


Simplifying
4x + 3y = 2x + 5y + 20

Reorder the terms:
4x + 3y = 20 + 2x + 5y

Solving
4x + 3y = 20 + 2x + 5y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4x + -2x + 3y = 20 + 2x + -2x + 5y

Combine like terms: 4x + -2x = 2x
2x + 3y = 20 + 2x + -2x + 5y

Combine like terms: 2x + -2x = 0
2x + 3y = 20 + 0 + 5y
2x + 3y = 20 + 5y

Add '-3y' to each side of the equation.
2x + 3y + -3y = 20 + 5y + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 20 + 5y + -3y
2x = 20 + 5y + -3y

Combine like terms: 5y + -3y = 2y
2x = 20 + 2y

Divide each side by '2'.
x = 10 + y

Simplifying
x = 10 + y

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