8x+0.2y+3z-138.83+105.55-0.5-3y+0.5+27.15=180

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Solution for 8x+0.2y+3z-138.83+105.55-0.5-3y+0.5+27.15=180 equation:


Simplifying
8x + 0.2y + 3z + -138.83 + 105.55 + -0.5 + -3y + 0.5 + 27.15 = 180

Reorder the terms:
-138.83 + 105.55 + -0.5 + 0.5 + 27.15 + 8x + 0.2y + -3y + 3z = 180

Combine like terms: -138.83 + 105.55 = -33.28
-33.28 + -0.5 + 0.5 + 27.15 + 8x + 0.2y + -3y + 3z = 180

Combine like terms: -33.28 + -0.5 = -33.78
-33.78 + 0.5 + 27.15 + 8x + 0.2y + -3y + 3z = 180

Combine like terms: -33.78 + 0.5 = -33.28
-33.28 + 27.15 + 8x + 0.2y + -3y + 3z = 180

Combine like terms: -33.28 + 27.15 = -6.13
-6.13 + 8x + 0.2y + -3y + 3z = 180

Combine like terms: 0.2y + -3y = -2.8y
-6.13 + 8x + -2.8y + 3z = 180

Solving
-6.13 + 8x + -2.8y + 3z = 180

Solving for variable 'x'.

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

Add '6.13' to each side of the equation.
-6.13 + 8x + -2.8y + 6.13 + 3z = 180 + 6.13

Reorder the terms:
-6.13 + 6.13 + 8x + -2.8y + 3z = 180 + 6.13

Combine like terms: -6.13 + 6.13 = 0.00
0.00 + 8x + -2.8y + 3z = 180 + 6.13
8x + -2.8y + 3z = 180 + 6.13

Combine like terms: 180 + 6.13 = 186.13
8x + -2.8y + 3z = 186.13

Add '2.8y' to each side of the equation.
8x + -2.8y + 2.8y + 3z = 186.13 + 2.8y

Combine like terms: -2.8y + 2.8y = 0.0
8x + 0.0 + 3z = 186.13 + 2.8y
8x + 3z = 186.13 + 2.8y

Add '-3z' to each side of the equation.
8x + 3z + -3z = 186.13 + 2.8y + -3z

Combine like terms: 3z + -3z = 0
8x + 0 = 186.13 + 2.8y + -3z
8x = 186.13 + 2.8y + -3z

Divide each side by '8'.
x = 23.26625 + 0.35y + -0.375z

Simplifying
x = 23.26625 + 0.35y + -0.375z

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