3(x-7)+2x=9-x+2y

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Solution for 3(x-7)+2x=9-x+2y equation: 


Simplifying
3(x + -7) + 2x = 9 + -1x + 2y

Reorder the terms:
3(-7 + x) + 2x = 9 + -1x + 2y
(-7 * 3 + x * 3) + 2x = 9 + -1x + 2y
(-21 + 3x) + 2x = 9 + -1x + 2y

Combine like terms: 3x + 2x = 5x
-21 + 5x = 9 + -1x + 2y

Solving
-21 + 5x = 9 + -1x + 2y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-21 + 5x + x = 9 + -1x + x + 2y

Combine like terms: 5x + x = 6x
-21 + 6x = 9 + -1x + x + 2y

Combine like terms: -1x + x = 0
-21 + 6x = 9 + 0 + 2y
-21 + 6x = 9 + 2y

Add '21' to each side of the equation.
-21 + 21 + 6x = 9 + 21 + 2y

Combine like terms: -21 + 21 = 0
0 + 6x = 9 + 21 + 2y
6x = 9 + 21 + 2y

Combine like terms: 9 + 21 = 30
6x = 30 + 2y

Divide each side by '6'.
x = 5 + 0.3333333333y

Simplifying
x = 5 + 0.3333333333y

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