(x+6y)+((x+6y)*0.18)=1124.999

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Solution for (x+6y)+((x+6y)*0.18)=1124.999 equation: 


Simplifying
(x + 6y) + ((x + 6y) * 0.18) = 1124.999

Remove parenthesis around (x + 6y)
x + 6y + ((x + 6y) * 0.18) = 1124.999

Reorder the terms for easier multiplication:
x + 6y + (0.18(x + 6y)) = 1124.999
x + 6y + ((x * 0.18 + 6y * 0.18)) = 1124.999
x + 6y + ((0.18x + 1.08y)) = 1124.999
x + 6y + (0.18x + 1.08y) = 1124.999

Remove parenthesis around (0.18x + 1.08y)
x + 6y + 0.18x + 1.08y = 1124.999

Reorder the terms:
x + 0.18x + 6y + 1.08y = 1124.999

Combine like terms: x + 0.18x = 1.18x
1.18x + 6y + 1.08y = 1124.999

Combine like terms: 6y + 1.08y = 7.08y
1.18x + 7.08y = 1124.999

Solving
1.18x + 7.08y = 1124.999

Solving for variable 'x'.

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

Add '-7.08y' to each side of the equation.
1.18x + 7.08y + -7.08y = 1124.999 + -7.08y

Combine like terms: 7.08y + -7.08y = 0.00
1.18x + 0.00 = 1124.999 + -7.08y
1.18x = 1124.999 + -7.08y

Divide each side by '1.18'.
x = 953.3889831 + -6y

Simplifying
x = 953.3889831 + -6y

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