7x+5y+6z-4x+4z-8=

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Solution for 7x+5y+6z-4x+4z-8= equation:


Simplifying
7x + 5y + 6z + -4x + 4z + -8 = 0

Reorder the terms:
-8 + 7x + -4x + 5y + 6z + 4z = 0

Combine like terms: 7x + -4x = 3x
-8 + 3x + 5y + 6z + 4z = 0

Combine like terms: 6z + 4z = 10z
-8 + 3x + 5y + 10z = 0

Solving
-8 + 3x + 5y + 10z = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 3x + 5y + 8 + 10z = 0 + 8

Reorder the terms:
-8 + 8 + 3x + 5y + 10z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x + 5y + 10z = 0 + 8
3x + 5y + 10z = 0 + 8

Combine like terms: 0 + 8 = 8
3x + 5y + 10z = 8

Add '-5y' to each side of the equation.
3x + 5y + -5y + 10z = 8 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 + 10z = 8 + -5y
3x + 10z = 8 + -5y

Add '-10z' to each side of the equation.
3x + 10z + -10z = 8 + -5y + -10z

Combine like terms: 10z + -10z = 0
3x + 0 = 8 + -5y + -10z
3x = 8 + -5y + -10z

Divide each side by '3'.
x = 2.666666667 + -1.666666667y + -3.333333333z

Simplifying
x = 2.666666667 + -1.666666667y + -3.333333333z

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