6x+y+z=3x+3

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


Simplifying
6x + y + z = 3x + 3

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

Solving
6x + y + z = 3 + 3x

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.
6x + y + -3x + z = 3 + 3x + -3x

Reorder the terms:
6x + -3x + y + z = 3 + 3x + -3x

Combine like terms: 6x + -3x = 3x
3x + y + z = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
3x + y + z = 3 + 0
3x + y + z = 3

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

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

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

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

Divide each side by '3'.
x = 1 + -0.3333333333y + -0.3333333333z

Simplifying
x = 1 + -0.3333333333y + -0.3333333333z

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