3(x+1)+6+3y=2x

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Solution for 3(x+1)+6+3y=2x equation:


Simplifying
3(x + 1) + 6 + 3y = 2x

Reorder the terms:
3(1 + x) + 6 + 3y = 2x
(1 * 3 + x * 3) + 6 + 3y = 2x
(3 + 3x) + 6 + 3y = 2x

Reorder the terms:
3 + 6 + 3x + 3y = 2x

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

Solving
9 + 3x + 3y = 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
9 + 1x + 3y = 0

Add '-9' to each side of the equation.
9 + 1x + -9 + 3y = 0 + -9

Reorder the terms:
9 + -9 + 1x + 3y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 1x + 3y = 0 + -9
1x + 3y = 0 + -9

Combine like terms: 0 + -9 = -9
1x + 3y = -9

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

Combine like terms: 3y + -3y = 0
1x + 0 = -9 + -3y
1x = -9 + -3y

Divide each side by '1'.
x = -9 + -3y

Simplifying
x = -9 + -3y

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