(3X+Y)+(X+4Y+2)=90

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Solution for (3X+Y)+(X+4Y+2)=90 equation: 


Simplifying
(3X + Y) + (X + 4Y + 2) = 90

Remove parenthesis around (3X + Y)
3X + Y + (X + 4Y + 2) = 90

Reorder the terms:
3X + Y + (2 + X + 4Y) = 90

Remove parenthesis around (2 + X + 4Y)
3X + Y + 2 + X + 4Y = 90

Reorder the terms:
2 + 3X + X + Y + 4Y = 90

Combine like terms: 3X + X = 4X
2 + 4X + Y + 4Y = 90

Combine like terms: Y + 4Y = 5Y
2 + 4X + 5Y = 90

Solving
2 + 4X + 5Y = 90

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + 4X + -2 + 5Y = 90 + -2

Reorder the terms:
2 + -2 + 4X + 5Y = 90 + -2

Combine like terms: 2 + -2 = 0
0 + 4X + 5Y = 90 + -2
4X + 5Y = 90 + -2

Combine like terms: 90 + -2 = 88
4X + 5Y = 88

Add '-5Y' to each side of the equation.
4X + 5Y + -5Y = 88 + -5Y

Combine like terms: 5Y + -5Y = 0
4X + 0 = 88 + -5Y
4X = 88 + -5Y

Divide each side by '4'.
X = 22 + -1.25Y

Simplifying
X = 22 + -1.25Y

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