3x+2y+x=x+6

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Solution for 3x+2y+x=x+6 equation:


Simplifying
3x + 2y + x = x + 6

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

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

Reorder the terms:
4x + 2y = 6 + x

Solving
4x + 2y = 6 + x

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.
4x + -1x + 2y = 6 + x + -1x

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

Combine like terms: x + -1x = 0
3x + 2y = 6 + 0
3x + 2y = 6

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

Combine like terms: 2y + -2y = 0
3x + 0 = 6 + -2y
3x = 6 + -2y

Divide each side by '3'.
x = 2 + -0.6666666667y

Simplifying
x = 2 + -0.6666666667y

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