10x+13y+15z+5.5x-6y-10.5z=

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Solution for 10x+13y+15z+5.5x-6y-10.5z= equation:


Simplifying
10x + 13y + 15z + 5.5x + -6y + -10.5z = 0

Reorder the terms:
10x + 5.5x + 13y + -6y + 15z + -10.5z = 0

Combine like terms: 10x + 5.5x = 15.5x
15.5x + 13y + -6y + 15z + -10.5z = 0

Combine like terms: 13y + -6y = 7y
15.5x + 7y + 15z + -10.5z = 0

Combine like terms: 15z + -10.5z = 4.5z
15.5x + 7y + 4.5z = 0

Solving
15.5x + 7y + 4.5z = 0

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
15.5x + 7y + -7y + 4.5z = 0 + -7y

Combine like terms: 7y + -7y = 0
15.5x + 0 + 4.5z = 0 + -7y
15.5x + 4.5z = 0 + -7y
Remove the zero:
15.5x + 4.5z = -7y

Add '-4.5z' to each side of the equation.
15.5x + 4.5z + -4.5z = -7y + -4.5z

Combine like terms: 4.5z + -4.5z = 0.0
15.5x + 0.0 = -7y + -4.5z
15.5x = -7y + -4.5z

Divide each side by '15.5'.
x = -0.4516129032y + -0.2903225806z

Simplifying
x = -0.4516129032y + -0.2903225806z

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