(14y-4)+(3x+11)+(x+21)=180

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Solution for (14y-4)+(3x+11)+(x+21)=180 equation:


Simplifying
(14y + -4) + (3x + 11) + (x + 21) = 180

Reorder the terms:
(-4 + 14y) + (3x + 11) + (x + 21) = 180

Remove parenthesis around (-4 + 14y)
-4 + 14y + (3x + 11) + (x + 21) = 180

Reorder the terms:
-4 + 14y + (11 + 3x) + (x + 21) = 180

Remove parenthesis around (11 + 3x)
-4 + 14y + 11 + 3x + (x + 21) = 180

Reorder the terms:
-4 + 14y + 11 + 3x + (21 + x) = 180

Remove parenthesis around (21 + x)
-4 + 14y + 11 + 3x + 21 + x = 180

Reorder the terms:
-4 + 11 + 21 + 3x + x + 14y = 180

Combine like terms: -4 + 11 = 7
7 + 21 + 3x + x + 14y = 180

Combine like terms: 7 + 21 = 28
28 + 3x + x + 14y = 180

Combine like terms: 3x + x = 4x
28 + 4x + 14y = 180

Solving
28 + 4x + 14y = 180

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + 4x + -28 + 14y = 180 + -28

Reorder the terms:
28 + -28 + 4x + 14y = 180 + -28

Combine like terms: 28 + -28 = 0
0 + 4x + 14y = 180 + -28
4x + 14y = 180 + -28

Combine like terms: 180 + -28 = 152
4x + 14y = 152

Add '-14y' to each side of the equation.
4x + 14y + -14y = 152 + -14y

Combine like terms: 14y + -14y = 0
4x + 0 = 152 + -14y
4x = 152 + -14y

Divide each side by '4'.
x = 38 + -3.5y

Simplifying
x = 38 + -3.5y

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