X+2Y-30+3X-Y+X+Y=180

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Solution for X+2Y-30+3X-Y+X+Y=180 equation:


Simplifying
X + 2Y + -30 + 3X + -1Y + X + Y = 180

Reorder the terms:
-30 + X + 3X + X + 2Y + -1Y + Y = 180

Combine like terms: X + 3X = 4X
-30 + 4X + X + 2Y + -1Y + Y = 180

Combine like terms: 4X + X = 5X
-30 + 5X + 2Y + -1Y + Y = 180

Combine like terms: 2Y + -1Y = 1Y
-30 + 5X + 1Y + Y = 180

Combine like terms: 1Y + Y = 2Y
-30 + 5X + 2Y = 180

Solving
-30 + 5X + 2Y = 180

Solving for variable 'X'.

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

Add '30' to each side of the equation.
-30 + 5X + 30 + 2Y = 180 + 30

Reorder the terms:
-30 + 30 + 5X + 2Y = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 5X + 2Y = 180 + 30
5X + 2Y = 180 + 30

Combine like terms: 180 + 30 = 210
5X + 2Y = 210

Add '-2Y' to each side of the equation.
5X + 2Y + -2Y = 210 + -2Y

Combine like terms: 2Y + -2Y = 0
5X + 0 = 210 + -2Y
5X = 210 + -2Y

Divide each side by '5'.
X = 42 + -0.4Y

Simplifying
X = 42 + -0.4Y

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