(13x-9y-16z)+(3x+21y-8z)=

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Solution for (13x-9y-16z)+(3x+21y-8z)= equation:


Simplifying
(13x + -9y + -16z) + (3x + 21y + -8z) = 0

Remove parenthesis around (13x + -9y + -16z)
13x + -9y + -16z + (3x + 21y + -8z) = 0

Remove parenthesis around (3x + 21y + -8z)
13x + -9y + -16z + 3x + 21y + -8z = 0

Reorder the terms:
13x + 3x + -9y + 21y + -16z + -8z = 0

Combine like terms: 13x + 3x = 16x
16x + -9y + 21y + -16z + -8z = 0

Combine like terms: -9y + 21y = 12y
16x + 12y + -16z + -8z = 0

Combine like terms: -16z + -8z = -24z
16x + 12y + -24z = 0

Solving
16x + 12y + -24z = 0

Solving for variable 'x'.

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

Add '-12y' to each side of the equation.
16x + 12y + -12y + -24z = 0 + -12y

Combine like terms: 12y + -12y = 0
16x + 0 + -24z = 0 + -12y
16x + -24z = 0 + -12y
Remove the zero:
16x + -24z = -12y

Add '24z' to each side of the equation.
16x + -24z + 24z = -12y + 24z

Combine like terms: -24z + 24z = 0
16x + 0 = -12y + 24z
16x = -12y + 24z

Divide each side by '16'.
x = -0.75y + 1.5z

Simplifying
x = -0.75y + 1.5z

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