(x+y)+(3x-2y)=100

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Solution for (x+y)+(3x-2y)=100 equation:


Simplifying
(x + y) + (3x + -2y) = 100

Remove parenthesis around (x + y)
x + y + (3x + -2y) = 100

Remove parenthesis around (3x + -2y)
x + y + 3x + -2y = 100

Reorder the terms:
x + 3x + y + -2y = 100

Combine like terms: x + 3x = 4x
4x + y + -2y = 100

Combine like terms: y + -2y = -1y
4x + -1y = 100

Solving
4x + -1y = 100

Solving for variable 'x'.

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

Add 'y' to each side of the equation.
4x + -1y + y = 100 + y

Combine like terms: -1y + y = 0
4x + 0 = 100 + y
4x = 100 + y

Divide each side by '4'.
x = 25 + 0.25y

Simplifying
x = 25 + 0.25y

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