(14x-22)+(14x-22)+(4x+4)+(4x+4)=360

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Solution for (14x-22)+(14x-22)+(4x+4)+(4x+4)=360 equation:


Simplifying
(14x + -22) + (14x + -22) + (4x + 4) + (4x + 4) = 360

Reorder the terms:
(-22 + 14x) + (14x + -22) + (4x + 4) + (4x + 4) = 360

Remove parenthesis around (-22 + 14x)
-22 + 14x + (14x + -22) + (4x + 4) + (4x + 4) = 360

Reorder the terms:
-22 + 14x + (-22 + 14x) + (4x + 4) + (4x + 4) = 360

Remove parenthesis around (-22 + 14x)
-22 + 14x + -22 + 14x + (4x + 4) + (4x + 4) = 360

Reorder the terms:
-22 + 14x + -22 + 14x + (4 + 4x) + (4x + 4) = 360

Remove parenthesis around (4 + 4x)
-22 + 14x + -22 + 14x + 4 + 4x + (4x + 4) = 360

Reorder the terms:
-22 + 14x + -22 + 14x + 4 + 4x + (4 + 4x) = 360

Remove parenthesis around (4 + 4x)
-22 + 14x + -22 + 14x + 4 + 4x + 4 + 4x = 360

Reorder the terms:
-22 + -22 + 4 + 4 + 14x + 14x + 4x + 4x = 360

Combine like terms: -22 + -22 = -44
-44 + 4 + 4 + 14x + 14x + 4x + 4x = 360

Combine like terms: -44 + 4 = -40
-40 + 4 + 14x + 14x + 4x + 4x = 360

Combine like terms: -40 + 4 = -36
-36 + 14x + 14x + 4x + 4x = 360

Combine like terms: 14x + 14x = 28x
-36 + 28x + 4x + 4x = 360

Combine like terms: 28x + 4x = 32x
-36 + 32x + 4x = 360

Combine like terms: 32x + 4x = 36x
-36 + 36x = 360

Solving
-36 + 36x = 360

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 36x = 360 + 36

Combine like terms: -36 + 36 = 0
0 + 36x = 360 + 36
36x = 360 + 36

Combine like terms: 360 + 36 = 396
36x = 396

Divide each side by '36'.
x = 11

Simplifying
x = 11

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