(2x+5)+(3x+4)+(5x+1)=(x+13)2+(2x)2

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Solution for (2x+5)+(3x+4)+(5x+1)=(x+13)2+(2x)2 equation: 


Simplifying
(2x + 5) + (3x + 4) + (5x + 1) = (x + 13) * 2 + (2x) * 2

Reorder the terms:
(5 + 2x) + (3x + 4) + (5x + 1) = (x + 13) * 2 + (2x) * 2

Remove parenthesis around (5 + 2x)
5 + 2x + (3x + 4) + (5x + 1) = (x + 13) * 2 + (2x) * 2

Reorder the terms:
5 + 2x + (4 + 3x) + (5x + 1) = (x + 13) * 2 + (2x) * 2

Remove parenthesis around (4 + 3x)
5 + 2x + 4 + 3x + (5x + 1) = (x + 13) * 2 + (2x) * 2

Reorder the terms:
5 + 2x + 4 + 3x + (1 + 5x) = (x + 13) * 2 + (2x) * 2

Remove parenthesis around (1 + 5x)
5 + 2x + 4 + 3x + 1 + 5x = (x + 13) * 2 + (2x) * 2

Reorder the terms:
5 + 4 + 1 + 2x + 3x + 5x = (x + 13) * 2 + (2x) * 2

Combine like terms: 5 + 4 = 9
9 + 1 + 2x + 3x + 5x = (x + 13) * 2 + (2x) * 2

Combine like terms: 9 + 1 = 10
10 + 2x + 3x + 5x = (x + 13) * 2 + (2x) * 2

Combine like terms: 2x + 3x = 5x
10 + 5x + 5x = (x + 13) * 2 + (2x) * 2

Combine like terms: 5x + 5x = 10x
10 + 10x = (x + 13) * 2 + (2x) * 2

Reorder the terms:
10 + 10x = (13 + x) * 2 + (2x) * 2

Reorder the terms for easier multiplication:
10 + 10x = 2(13 + x) + (2x) * 2
10 + 10x = (13 * 2 + x * 2) + (2x) * 2
10 + 10x = (26 + 2x) + (2x) * 2

Remove parenthesis around (2x)
10 + 10x = 26 + 2x + 2x * 2

Reorder the terms for easier multiplication:
10 + 10x = 26 + 2x + 2 * 2x

Multiply 2 * 2
10 + 10x = 26 + 2x + 4x

Combine like terms: 2x + 4x = 6x
10 + 10x = 26 + 6x

Solving
10 + 10x = 26 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 10x + -6x = 26 + 6x + -6x

Combine like terms: 10x + -6x = 4x
10 + 4x = 26 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 4x = 26 + 0
10 + 4x = 26

Add '-10' to each side of the equation.
10 + -10 + 4x = 26 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 26 + -10
4x = 26 + -10

Combine like terms: 26 + -10 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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