(x+y)*0.604+(z-0.1*(x+y+z))*0.471=150

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Solution for (x+y)*0.604+(z-0.1*(x+y+z))*0.471=150 equation:


Simplifying
(x + y) * 0.604 + (z + -0.1(x + y + z)) * 0.471 = 150

Reorder the terms for easier multiplication:
0.604(x + y) + (z + -0.1(x + y + z)) * 0.471 = 150
(x * 0.604 + y * 0.604) + (z + -0.1(x + y + z)) * 0.471 = 150
(0.604x + 0.604y) + (z + -0.1(x + y + z)) * 0.471 = 150
0.604x + 0.604y + (z + (x * -0.1 + y * -0.1 + z * -0.1)) * 0.471 = 150
0.604x + 0.604y + (z + (-0.1x + -0.1y + -0.1z)) * 0.471 = 150

Reorder the terms:
0.604x + 0.604y + (-0.1x + -0.1y + z + -0.1z) * 0.471 = 150

Combine like terms: z + -0.1z = 0.9z
0.604x + 0.604y + (-0.1x + -0.1y + 0.9z) * 0.471 = 150

Reorder the terms for easier multiplication:
0.604x + 0.604y + 0.471(-0.1x + -0.1y + 0.9z) = 150
0.604x + 0.604y + (-0.1x * 0.471 + -0.1y * 0.471 + 0.9z * 0.471) = 150
0.604x + 0.604y + (-0.0471x + -0.0471y + 0.4239z) = 150

Reorder the terms:
0.604x + -0.0471x + 0.604y + -0.0471y + 0.4239z = 150

Combine like terms: 0.604x + -0.0471x = 0.5569x
0.5569x + 0.604y + -0.0471y + 0.4239z = 150

Combine like terms: 0.604y + -0.0471y = 0.5569y
0.5569x + 0.5569y + 0.4239z = 150

Solving
0.5569x + 0.5569y + 0.4239z = 150

Solving for variable 'x'.

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

Add '-0.5569y' to each side of the equation.
0.5569x + 0.5569y + -0.5569y + 0.4239z = 150 + -0.5569y

Combine like terms: 0.5569y + -0.5569y = 0.0000
0.5569x + 0.0000 + 0.4239z = 150 + -0.5569y
0.5569x + 0.4239z = 150 + -0.5569y

Add '-0.4239z' to each side of the equation.
0.5569x + 0.4239z + -0.4239z = 150 + -0.5569y + -0.4239z

Combine like terms: 0.4239z + -0.4239z = 0.0000
0.5569x + 0.0000 = 150 + -0.5569y + -0.4239z
0.5569x = 150 + -0.5569y + -0.4239z

Divide each side by '0.5569'.
x = 269.3481774 + -1y + -0.7611779494z

Simplifying
x = 269.3481774 + -1y + -0.7611779494z

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