(9x-55)+(9x-55)+(3x+35)+(3x+35)=360

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Solution for (9x-55)+(9x-55)+(3x+35)+(3x+35)=360 equation:


Simplifying
(9x + -55) + (9x + -55) + (3x + 35) + (3x + 35) = 360

Reorder the terms:
(-55 + 9x) + (9x + -55) + (3x + 35) + (3x + 35) = 360

Remove parenthesis around (-55 + 9x)
-55 + 9x + (9x + -55) + (3x + 35) + (3x + 35) = 360

Reorder the terms:
-55 + 9x + (-55 + 9x) + (3x + 35) + (3x + 35) = 360

Remove parenthesis around (-55 + 9x)
-55 + 9x + -55 + 9x + (3x + 35) + (3x + 35) = 360

Reorder the terms:
-55 + 9x + -55 + 9x + (35 + 3x) + (3x + 35) = 360

Remove parenthesis around (35 + 3x)
-55 + 9x + -55 + 9x + 35 + 3x + (3x + 35) = 360

Reorder the terms:
-55 + 9x + -55 + 9x + 35 + 3x + (35 + 3x) = 360

Remove parenthesis around (35 + 3x)
-55 + 9x + -55 + 9x + 35 + 3x + 35 + 3x = 360

Reorder the terms:
-55 + -55 + 35 + 35 + 9x + 9x + 3x + 3x = 360

Combine like terms: -55 + -55 = -110
-110 + 35 + 35 + 9x + 9x + 3x + 3x = 360

Combine like terms: -110 + 35 = -75
-75 + 35 + 9x + 9x + 3x + 3x = 360

Combine like terms: -75 + 35 = -40
-40 + 9x + 9x + 3x + 3x = 360

Combine like terms: 9x + 9x = 18x
-40 + 18x + 3x + 3x = 360

Combine like terms: 18x + 3x = 21x
-40 + 21x + 3x = 360

Combine like terms: 21x + 3x = 24x
-40 + 24x = 360

Solving
-40 + 24x = 360

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 24x = 360 + 40

Combine like terms: -40 + 40 = 0
0 + 24x = 360 + 40
24x = 360 + 40

Combine like terms: 360 + 40 = 400
24x = 400

Divide each side by '24'.
x = 16.66666667

Simplifying
x = 16.66666667

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