2y+3x=4y+9x+7

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Solution for 2y+3x=4y+9x+7 equation:


Simplifying
2y + 3x = 4y + 9x + 7

Reorder the terms:
3x + 2y = 4y + 9x + 7

Reorder the terms:
3x + 2y = 7 + 9x + 4y

Solving
3x + 2y = 7 + 9x + 4y

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3x + -9x + 2y = 7 + 9x + -9x + 4y

Combine like terms: 3x + -9x = -6x
-6x + 2y = 7 + 9x + -9x + 4y

Combine like terms: 9x + -9x = 0
-6x + 2y = 7 + 0 + 4y
-6x + 2y = 7 + 4y

Add '-2y' to each side of the equation.
-6x + 2y + -2y = 7 + 4y + -2y

Combine like terms: 2y + -2y = 0
-6x + 0 = 7 + 4y + -2y
-6x = 7 + 4y + -2y

Combine like terms: 4y + -2y = 2y
-6x = 7 + 2y

Divide each side by '-6'.
x = -1.166666667 + -0.3333333333y

Simplifying
x = -1.166666667 + -0.3333333333y

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