(2x+y)+(x+3y)=90

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Solution for (2x+y)+(x+3y)=90 equation:


Simplifying
(2x + y) + (x + 3y) = 90

Remove parenthesis around (2x + y)
2x + y + (x + 3y) = 90

Remove parenthesis around (x + 3y)
2x + y + x + 3y = 90

Reorder the terms:
2x + x + y + 3y = 90

Combine like terms: 2x + x = 3x
3x + y + 3y = 90

Combine like terms: y + 3y = 4y
3x + 4y = 90

Solving
3x + 4y = 90

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 90 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 90 + -4y
3x = 90 + -4y

Divide each side by '3'.
x = 30 + -1.333333333y

Simplifying
x = 30 + -1.333333333y

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