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

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


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

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

Combine like terms: 2x + -1x = 1x
3(3 + 1x + 2y) = 2x + -1x + 7
(3 * 3 + 1x * 3 + 2y * 3) = 2x + -1x + 7
(9 + 3x + 6y) = 2x + -1x + 7

Reorder the terms:
9 + 3x + 6y = 7 + 2x + -1x

Combine like terms: 2x + -1x = 1x
9 + 3x + 6y = 7 + 1x

Solving
9 + 3x + 6y = 7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + 3x + -1x + 6y = 7 + 1x + -1x

Combine like terms: 3x + -1x = 2x
9 + 2x + 6y = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
9 + 2x + 6y = 7 + 0
9 + 2x + 6y = 7

Add '-9' to each side of the equation.
9 + 2x + -9 + 6y = 7 + -9

Reorder the terms:
9 + -9 + 2x + 6y = 7 + -9

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

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

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

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

Divide each side by '2'.
x = -1 + -3y

Simplifying
x = -1 + -3y

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