2x+4y-7(2x-6y+6z)=

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Solution for 2x+4y-7(2x-6y+6z)= equation: 


Simplifying
2x + 4y + -7(2x + -6y + 6z) = 0
2x + 4y + (2x * -7 + -6y * -7 + 6z * -7) = 0
2x + 4y + (-14x + 42y + -42z) = 0

Reorder the terms:
2x + -14x + 4y + 42y + -42z = 0

Combine like terms: 2x + -14x = -12x
-12x + 4y + 42y + -42z = 0

Combine like terms: 4y + 42y = 46y
-12x + 46y + -42z = 0

Solving
-12x + 46y + -42z = 0

Solving for variable 'x'.

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

Add '-46y' to each side of the equation.
-12x + 46y + -46y + -42z = 0 + -46y

Combine like terms: 46y + -46y = 0
-12x + 0 + -42z = 0 + -46y
-12x + -42z = 0 + -46y
Remove the zero:
-12x + -42z = -46y

Add '42z' to each side of the equation.
-12x + -42z + 42z = -46y + 42z

Combine like terms: -42z + 42z = 0
-12x + 0 = -46y + 42z
-12x = -46y + 42z

Divide each side by '-12'.
x = 3.833333333y + -3.5z

Simplifying
x = 3.833333333y + -3.5z

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