x+(1+x)+(2+x)+(3+x)+(4+x)+(5+x)=365

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Solution for x+(1+x)+(2+x)+(3+x)+(4+x)+(5+x)=365 equation: 


Simplifying
x + (1 + x) + (2 + x) + (3 + x) + (4 + x) + (5 + x) = 365

Remove parenthesis around (1 + x)
x + 1 + x + (2 + x) + (3 + x) + (4 + x) + (5 + x) = 365

Remove parenthesis around (2 + x)
x + 1 + x + 2 + x + (3 + x) + (4 + x) + (5 + x) = 365

Remove parenthesis around (3 + x)
x + 1 + x + 2 + x + 3 + x + (4 + x) + (5 + x) = 365

Remove parenthesis around (4 + x)
x + 1 + x + 2 + x + 3 + x + 4 + x + (5 + x) = 365

Remove parenthesis around (5 + x)
x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x = 365

Reorder the terms:
1 + 2 + 3 + 4 + 5 + x + x + x + x + x + x = 365

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + 5 + x + x + x + x + x + x = 365

Combine like terms: 3 + 3 = 6
6 + 4 + 5 + x + x + x + x + x + x = 365

Combine like terms: 6 + 4 = 10
10 + 5 + x + x + x + x + x + x = 365

Combine like terms: 10 + 5 = 15
15 + x + x + x + x + x + x = 365

Combine like terms: x + x = 2x
15 + 2x + x + x + x + x = 365

Combine like terms: 2x + x = 3x
15 + 3x + x + x + x = 365

Combine like terms: 3x + x = 4x
15 + 4x + x + x = 365

Combine like terms: 4x + x = 5x
15 + 5x + x = 365

Combine like terms: 5x + x = 6x
15 + 6x = 365

Solving
15 + 6x = 365

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 6x = 365 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 365 + -15
6x = 365 + -15

Combine like terms: 365 + -15 = 350
6x = 350

Divide each side by '6'.
x = 58.33333333

Simplifying
x = 58.33333333

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