15x+0.4y+2z-19.1+3x+10y-z-23.25=90

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Solution for 15x+0.4y+2z-19.1+3x+10y-z-23.25=90 equation: 


Simplifying
15x + 0.4y + 2z + -19.1 + 3x + 10y + -1z + -23.25 = 90

Reorder the terms:
-19.1 + -23.25 + 15x + 3x + 0.4y + 10y + 2z + -1z = 90

Combine like terms: -19.1 + -23.25 = -42.35
-42.35 + 15x + 3x + 0.4y + 10y + 2z + -1z = 90

Combine like terms: 15x + 3x = 18x
-42.35 + 18x + 0.4y + 10y + 2z + -1z = 90

Combine like terms: 0.4y + 10y = 10.4y
-42.35 + 18x + 10.4y + 2z + -1z = 90

Combine like terms: 2z + -1z = 1z
-42.35 + 18x + 10.4y + 1z = 90

Solving
-42.35 + 18x + 10.4y + 1z = 90

Solving for variable 'x'.

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

Add '42.35' to each side of the equation.
-42.35 + 18x + 10.4y + 42.35 + 1z = 90 + 42.35

Reorder the terms:
-42.35 + 42.35 + 18x + 10.4y + 1z = 90 + 42.35

Combine like terms: -42.35 + 42.35 = 0.00
0.00 + 18x + 10.4y + 1z = 90 + 42.35
18x + 10.4y + 1z = 90 + 42.35

Combine like terms: 90 + 42.35 = 132.35
18x + 10.4y + 1z = 132.35

Add '-10.4y' to each side of the equation.
18x + 10.4y + -10.4y + 1z = 132.35 + -10.4y

Combine like terms: 10.4y + -10.4y = 0.0
18x + 0.0 + 1z = 132.35 + -10.4y
18x + 1z = 132.35 + -10.4y

Add '-1z' to each side of the equation.
18x + 1z + -1z = 132.35 + -10.4y + -1z

Combine like terms: 1z + -1z = 0
18x + 0 = 132.35 + -10.4y + -1z
18x = 132.35 + -10.4y + -1z

Divide each side by '18'.
x = 7.352777778 + -0.5777777778y + -0.05555555556z

Simplifying
x = 7.352777778 + -0.5777777778y + -0.05555555556z

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