(2x-5)+(2x-5)+(3x-25)+(5x+45)=360

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Solution for (2x-5)+(2x-5)+(3x-25)+(5x+45)=360 equation: 


Simplifying
(2x + -5) + (2x + -5) + (3x + -25) + (5x + 45) = 360

Reorder the terms:
(-5 + 2x) + (2x + -5) + (3x + -25) + (5x + 45) = 360

Remove parenthesis around (-5 + 2x)
-5 + 2x + (2x + -5) + (3x + -25) + (5x + 45) = 360

Reorder the terms:
-5 + 2x + (-5 + 2x) + (3x + -25) + (5x + 45) = 360

Remove parenthesis around (-5 + 2x)
-5 + 2x + -5 + 2x + (3x + -25) + (5x + 45) = 360

Reorder the terms:
-5 + 2x + -5 + 2x + (-25 + 3x) + (5x + 45) = 360

Remove parenthesis around (-25 + 3x)
-5 + 2x + -5 + 2x + -25 + 3x + (5x + 45) = 360

Reorder the terms:
-5 + 2x + -5 + 2x + -25 + 3x + (45 + 5x) = 360

Remove parenthesis around (45 + 5x)
-5 + 2x + -5 + 2x + -25 + 3x + 45 + 5x = 360

Reorder the terms:
-5 + -5 + -25 + 45 + 2x + 2x + 3x + 5x = 360

Combine like terms: -5 + -5 = -10
-10 + -25 + 45 + 2x + 2x + 3x + 5x = 360

Combine like terms: -10 + -25 = -35
-35 + 45 + 2x + 2x + 3x + 5x = 360

Combine like terms: -35 + 45 = 10
10 + 2x + 2x + 3x + 5x = 360

Combine like terms: 2x + 2x = 4x
10 + 4x + 3x + 5x = 360

Combine like terms: 4x + 3x = 7x
10 + 7x + 5x = 360

Combine like terms: 7x + 5x = 12x
10 + 12x = 360

Solving
10 + 12x = 360

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 12x = 360 + -10

Combine like terms: 10 + -10 = 0
0 + 12x = 360 + -10
12x = 360 + -10

Combine like terms: 360 + -10 = 350
12x = 350

Divide each side by '12'.
x = 29.16666667

Simplifying
x = 29.16666667

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