8x-(15y+16z-12x)-(-13x+20y)-(x+y+z)=

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Solution for 8x-(15y+16z-12x)-(-13x+20y)-(x+y+z)= equation: 


Simplifying
8x + -1(15y + 16z + -12x) + -1(-13x + 20y) + -1(x + y + z) = 0

Reorder the terms:
8x + -1(-12x + 15y + 16z) + -1(-13x + 20y) + -1(x + y + z) = 0
8x + (-12x * -1 + 15y * -1 + 16z * -1) + -1(-13x + 20y) + -1(x + y + z) = 0
8x + (12x + -15y + -16z) + -1(-13x + 20y) + -1(x + y + z) = 0
8x + 12x + -15y + -16z + (-13x * -1 + 20y * -1) + -1(x + y + z) = 0
8x + 12x + -15y + -16z + (13x + -20y) + -1(x + y + z) = 0
8x + 12x + -15y + -16z + 13x + -20y + (x * -1 + y * -1 + z * -1) = 0
8x + 12x + -15y + -16z + 13x + -20y + (-1x + -1y + -1z) = 0

Reorder the terms:
8x + 12x + 13x + -1x + -15y + -20y + -1y + -16z + -1z = 0

Combine like terms: 8x + 12x = 20x
20x + 13x + -1x + -15y + -20y + -1y + -16z + -1z = 0

Combine like terms: 20x + 13x = 33x
33x + -1x + -15y + -20y + -1y + -16z + -1z = 0

Combine like terms: 33x + -1x = 32x
32x + -15y + -20y + -1y + -16z + -1z = 0

Combine like terms: -15y + -20y = -35y
32x + -35y + -1y + -16z + -1z = 0

Combine like terms: -35y + -1y = -36y
32x + -36y + -16z + -1z = 0

Combine like terms: -16z + -1z = -17z
32x + -36y + -17z = 0

Solving
32x + -36y + -17z = 0

Solving for variable 'x'.

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

Add '36y' to each side of the equation.
32x + -36y + 36y + -17z = 0 + 36y

Combine like terms: -36y + 36y = 0
32x + 0 + -17z = 0 + 36y
32x + -17z = 0 + 36y
Remove the zero:
32x + -17z = 36y

Add '17z' to each side of the equation.
32x + -17z + 17z = 36y + 17z

Combine like terms: -17z + 17z = 0
32x + 0 = 36y + 17z
32x = 36y + 17z

Divide each side by '32'.
x = 1.125y + 0.53125z

Simplifying
x = 1.125y + 0.53125z

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