2x+3y=4x+2

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


Simplifying
2x + 3y = 4x + 2

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

Solving
2x + 3y = 2 + 4x

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

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

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

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

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

Divide each side by '-2'.
x = -1 + 1.5y

Simplifying
x = -1 + 1.5y

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