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

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


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

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

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

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

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

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

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

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

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

Combine like terms: 15 + 15 = 30
30 + x + x + x + x = 360

Combine like terms: x + x = 2x
30 + 2x + x + x = 360

Combine like terms: 2x + x = 3x
30 + 3x + x = 360

Combine like terms: 3x + x = 4x
30 + 4x = 360

Solving
30 + 4x = 360

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 4x = 360 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 360 + -30
4x = 360 + -30

Combine like terms: 360 + -30 = 330
4x = 330

Divide each side by '4'.
x = 82.5

Simplifying
x = 82.5

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