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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 3x + 5x = 8x
10 + 8x + 2x = (x + 13) + 2x

Combine like terms: 8x + 2x = 10x
10 + 10x = (x + 13) + 2x

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

Remove parenthesis around (13 + x)
10 + 10x = 13 + x + 2x

Combine like terms: x + 2x = 3x
10 + 10x = 13 + 3x

Solving
10 + 10x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 10x + -3x = 13 + 3x + -3x

Combine like terms: 10x + -3x = 7x
10 + 7x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 7x = 13 + 0
10 + 7x = 13

Add '-10' to each side of the equation.
10 + -10 + 7x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 13 + -10
7x = 13 + -10

Combine like terms: 13 + -10 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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