3x+2y+4z=12

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Solution for 3x+2y+4z=12 equation:


Simplifying
3x + 2y + 4z = 12

Solving
3x + 2y + 4z = 12

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
3x + 2y + -2y + 4z = 12 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 + 4z = 12 + -2y
3x + 4z = 12 + -2y

Add '-4z' to each side of the equation.
3x + 4z + -4z = 12 + -2y + -4z

Combine like terms: 4z + -4z = 0
3x + 0 = 12 + -2y + -4z
3x = 12 + -2y + -4z

Divide each side by '3'.
x = 4 + -0.6666666667y + -1.333333333z

Simplifying
x = 4 + -0.6666666667y + -1.333333333z

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