(5x+15)+(x-5)+(6x-10)=360

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Solution for (5x+15)+(x-5)+(6x-10)=360 equation:


Simplifying
(5x + 15) + (x + -5) + (6x + -10) = 360

Reorder the terms:
(15 + 5x) + (x + -5) + (6x + -10) = 360

Remove parenthesis around (15 + 5x)
15 + 5x + (x + -5) + (6x + -10) = 360

Reorder the terms:
15 + 5x + (-5 + x) + (6x + -10) = 360

Remove parenthesis around (-5 + x)
15 + 5x + -5 + x + (6x + -10) = 360

Reorder the terms:
15 + 5x + -5 + x + (-10 + 6x) = 360

Remove parenthesis around (-10 + 6x)
15 + 5x + -5 + x + -10 + 6x = 360

Reorder the terms:
15 + -5 + -10 + 5x + x + 6x = 360

Combine like terms: 15 + -5 = 10
10 + -10 + 5x + x + 6x = 360

Combine like terms: 10 + -10 = 0
0 + 5x + x + 6x = 360
5x + x + 6x = 360

Combine like terms: 5x + x = 6x
6x + 6x = 360

Combine like terms: 6x + 6x = 12x
12x = 360

Solving
12x = 360

Solving for variable 'x'.

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

Divide each side by '12'.
x = 30

Simplifying
x = 30

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