6x-9+2y-1=4x+39+3y-x

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Solution for 6x-9+2y-1=4x+39+3y-x equation:


Simplifying
6x + -9 + 2y + -1 = 4x + 39 + 3y + -1x

Reorder the terms:
-9 + -1 + 6x + 2y = 4x + 39 + 3y + -1x

Combine like terms: -9 + -1 = -10
-10 + 6x + 2y = 4x + 39 + 3y + -1x

Reorder the terms:
-10 + 6x + 2y = 39 + 4x + -1x + 3y

Combine like terms: 4x + -1x = 3x
-10 + 6x + 2y = 39 + 3x + 3y

Solving
-10 + 6x + 2y = 39 + 3x + 3y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 6x + -3x + 2y = 39 + 3x + -3x + 3y

Combine like terms: 6x + -3x = 3x
-10 + 3x + 2y = 39 + 3x + -3x + 3y

Combine like terms: 3x + -3x = 0
-10 + 3x + 2y = 39 + 0 + 3y
-10 + 3x + 2y = 39 + 3y

Add '10' to each side of the equation.
-10 + 3x + 10 + 2y = 39 + 10 + 3y

Reorder the terms:
-10 + 10 + 3x + 2y = 39 + 10 + 3y

Combine like terms: -10 + 10 = 0
0 + 3x + 2y = 39 + 10 + 3y
3x + 2y = 39 + 10 + 3y

Combine like terms: 39 + 10 = 49
3x + 2y = 49 + 3y

Add '-2y' to each side of the equation.
3x + 2y + -2y = 49 + 3y + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 49 + 3y + -2y
3x = 49 + 3y + -2y

Combine like terms: 3y + -2y = 1y
3x = 49 + 1y

Divide each side by '3'.
x = 16.33333333 + 0.3333333333y

Simplifying
x = 16.33333333 + 0.3333333333y

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