(3y+x)+(4y+x-5)=180

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Solution for (3y+x)+(4y+x-5)=180 equation:


Simplifying
(3y + x) + (4y + x + -5) = 180

Reorder the terms:
(x + 3y) + (4y + x + -5) = 180

Remove parenthesis around (x + 3y)
x + 3y + (4y + x + -5) = 180

Reorder the terms:
x + 3y + (-5 + x + 4y) = 180

Remove parenthesis around (-5 + x + 4y)
x + 3y + -5 + x + 4y = 180

Reorder the terms:
-5 + x + x + 3y + 4y = 180

Combine like terms: x + x = 2x
-5 + 2x + 3y + 4y = 180

Combine like terms: 3y + 4y = 7y
-5 + 2x + 7y = 180

Solving
-5 + 2x + 7y = 180

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 2x + 5 + 7y = 180 + 5

Reorder the terms:
-5 + 5 + 2x + 7y = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 2x + 7y = 180 + 5
2x + 7y = 180 + 5

Combine like terms: 180 + 5 = 185
2x + 7y = 185

Add '-7y' to each side of the equation.
2x + 7y + -7y = 185 + -7y

Combine like terms: 7y + -7y = 0
2x + 0 = 185 + -7y
2x = 185 + -7y

Divide each side by '2'.
x = 92.5 + -3.5y

Simplifying
x = 92.5 + -3.5y

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