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

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


Simplifying
2(x + 3y) = 4(x + -1y) + 5
(x * 2 + 3y * 2) = 4(x + -1y) + 5
(2x + 6y) = 4(x + -1y) + 5
2x + 6y = (x * 4 + -1y * 4) + 5
2x + 6y = (4x + -4y) + 5

Reorder the terms:
2x + 6y = 5 + 4x + -4y

Solving
2x + 6y = 5 + 4x + -4y

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 + 6y = 5 + 4x + -4x + -4y

Combine like terms: 2x + -4x = -2x
-2x + 6y = 5 + 4x + -4x + -4y

Combine like terms: 4x + -4x = 0
-2x + 6y = 5 + 0 + -4y
-2x + 6y = 5 + -4y

Add '-6y' to each side of the equation.
-2x + 6y + -6y = 5 + -4y + -6y

Combine like terms: 6y + -6y = 0
-2x + 0 = 5 + -4y + -6y
-2x = 5 + -4y + -6y

Combine like terms: -4y + -6y = -10y
-2x = 5 + -10y

Divide each side by '-2'.
x = -2.5 + 5y

Simplifying
x = -2.5 + 5y

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