6xz-5y-3z+10=9y+2z-8

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Solution for 6xz-5y-3z+10=9y+2z-8 equation: 


Simplifying
6xz + -5y + -3z + 10 = 9y + 2z + -8

Reorder the terms:
10 + 6xz + -5y + -3z = 9y + 2z + -8

Reorder the terms:
10 + 6xz + -5y + -3z = -8 + 9y + 2z

Solving
10 + 6xz + -5y + -3z = -8 + 9y + 2z

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 6xz + -5y + -10 + -3z = -8 + 9y + -10 + 2z

Reorder the terms:
10 + -10 + 6xz + -5y + -3z = -8 + 9y + -10 + 2z

Combine like terms: 10 + -10 = 0
0 + 6xz + -5y + -3z = -8 + 9y + -10 + 2z
6xz + -5y + -3z = -8 + 9y + -10 + 2z

Reorder the terms:
6xz + -5y + -3z = -8 + -10 + 9y + 2z

Combine like terms: -8 + -10 = -18
6xz + -5y + -3z = -18 + 9y + 2z

Add '5y' to each side of the equation.
6xz + -5y + 5y + -3z = -18 + 9y + 5y + 2z

Combine like terms: -5y + 5y = 0
6xz + 0 + -3z = -18 + 9y + 5y + 2z
6xz + -3z = -18 + 9y + 5y + 2z

Combine like terms: 9y + 5y = 14y
6xz + -3z = -18 + 14y + 2z

Add '3z' to each side of the equation.
6xz + -3z + 3z = -18 + 14y + 2z + 3z

Combine like terms: -3z + 3z = 0
6xz + 0 = -18 + 14y + 2z + 3z
6xz = -18 + 14y + 2z + 3z

Combine like terms: 2z + 3z = 5z
6xz = -18 + 14y + 5z

Divide each side by '6z'.
x = -3z-1 + 2.333333333yz-1 + 0.8333333333

Simplifying
x = -3z-1 + 2.333333333yz-1 + 0.8333333333

Reorder the terms:
x = 0.8333333333 + 2.333333333yz-1 + -3z-1

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