3(x+y)+4(x-y)=120

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Solution for 3(x+y)+4(x-y)=120 equation: 


Simplifying
3(x + y) + 4(x + -1y) = 120
(x * 3 + y * 3) + 4(x + -1y) = 120
(3x + 3y) + 4(x + -1y) = 120
3x + 3y + (x * 4 + -1y * 4) = 120
3x + 3y + (4x + -4y) = 120

Reorder the terms:
3x + 4x + 3y + -4y = 120

Combine like terms: 3x + 4x = 7x
7x + 3y + -4y = 120

Combine like terms: 3y + -4y = -1y
7x + -1y = 120

Solving
7x + -1y = 120

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.
7x + -1y + y = 120 + y

Combine like terms: -1y + y = 0
7x + 0 = 120 + y
7x = 120 + y

Divide each side by '7'.
x = 17.14285714 + 0.1428571429y

Simplifying
x = 17.14285714 + 0.1428571429y

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