.2852(X+Y)+(X+Y)=200000

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Solution for .2852(X+Y)+(X+Y)=200000 equation: 


Simplifying
0.2852(X + Y) + (X + Y) = 200000
(X * 0.2852 + Y * 0.2852) + (X + Y) = 200000
(0.2852X + 0.2852Y) + (X + Y) = 200000

Remove parenthesis around (X + Y)
0.2852X + 0.2852Y + X + Y = 200000

Reorder the terms:
0.2852X + X + 0.2852Y + Y = 200000

Combine like terms: 0.2852X + X = 1.2852X
1.2852X + 0.2852Y + Y = 200000

Combine like terms: 0.2852Y + Y = 1.2852Y
1.2852X + 1.2852Y = 200000

Solving
1.2852X + 1.2852Y = 200000

Solving for variable 'X'.

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

Add '-1.2852Y' to each side of the equation.
1.2852X + 1.2852Y + -1.2852Y = 200000 + -1.2852Y

Combine like terms: 1.2852Y + -1.2852Y = 0.0000
1.2852X + 0.0000 = 200000 + -1.2852Y
1.2852X = 200000 + -1.2852Y

Divide each side by '1.2852'.
X = 155617.8027 + -1Y

Simplifying
X = 155617.8027 + -1Y

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