10x-12y+z+15y-12x+13x+7y+11z-20x=

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Solution for 10x-12y+z+15y-12x+13x+7y+11z-20x= equation:


Simplifying
10x + -12y + z + 15y + -12x + 13x + 7y + 11z + -20x = 0

Reorder the terms:
10x + -12x + 13x + -20x + -12y + 15y + 7y + z + 11z = 0

Combine like terms: 10x + -12x = -2x
-2x + 13x + -20x + -12y + 15y + 7y + z + 11z = 0

Combine like terms: -2x + 13x = 11x
11x + -20x + -12y + 15y + 7y + z + 11z = 0

Combine like terms: 11x + -20x = -9x
-9x + -12y + 15y + 7y + z + 11z = 0

Combine like terms: -12y + 15y = 3y
-9x + 3y + 7y + z + 11z = 0

Combine like terms: 3y + 7y = 10y
-9x + 10y + z + 11z = 0

Combine like terms: z + 11z = 12z
-9x + 10y + 12z = 0

Solving
-9x + 10y + 12z = 0

Solving for variable 'x'.

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

Add '-10y' to each side of the equation.
-9x + 10y + -10y + 12z = 0 + -10y

Combine like terms: 10y + -10y = 0
-9x + 0 + 12z = 0 + -10y
-9x + 12z = 0 + -10y
Remove the zero:
-9x + 12z = -10y

Add '-12z' to each side of the equation.
-9x + 12z + -12z = -10y + -12z

Combine like terms: 12z + -12z = 0
-9x + 0 = -10y + -12z
-9x = -10y + -12z

Divide each side by '-9'.
x = 1.111111111y + 1.333333333z

Simplifying
x = 1.111111111y + 1.333333333z

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