(5x+2)+(3x+5)+(8x+8)+(5x+10)+(4x+15)=500

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Solution for (5x+2)+(3x+5)+(8x+8)+(5x+10)+(4x+15)=500 equation: 


Simplifying
(5x + 2) + (3x + 5) + (8x + 8) + (5x + 10) + (4x + 15) = 500

Reorder the terms:
(2 + 5x) + (3x + 5) + (8x + 8) + (5x + 10) + (4x + 15) = 500

Remove parenthesis around (2 + 5x)
2 + 5x + (3x + 5) + (8x + 8) + (5x + 10) + (4x + 15) = 500

Reorder the terms:
2 + 5x + (5 + 3x) + (8x + 8) + (5x + 10) + (4x + 15) = 500

Remove parenthesis around (5 + 3x)
2 + 5x + 5 + 3x + (8x + 8) + (5x + 10) + (4x + 15) = 500

Reorder the terms:
2 + 5x + 5 + 3x + (8 + 8x) + (5x + 10) + (4x + 15) = 500

Remove parenthesis around (8 + 8x)
2 + 5x + 5 + 3x + 8 + 8x + (5x + 10) + (4x + 15) = 500

Reorder the terms:
2 + 5x + 5 + 3x + 8 + 8x + (10 + 5x) + (4x + 15) = 500

Remove parenthesis around (10 + 5x)
2 + 5x + 5 + 3x + 8 + 8x + 10 + 5x + (4x + 15) = 500

Reorder the terms:
2 + 5x + 5 + 3x + 8 + 8x + 10 + 5x + (15 + 4x) = 500

Remove parenthesis around (15 + 4x)
2 + 5x + 5 + 3x + 8 + 8x + 10 + 5x + 15 + 4x = 500

Reorder the terms:
2 + 5 + 8 + 10 + 15 + 5x + 3x + 8x + 5x + 4x = 500

Combine like terms: 2 + 5 = 7
7 + 8 + 10 + 15 + 5x + 3x + 8x + 5x + 4x = 500

Combine like terms: 7 + 8 = 15
15 + 10 + 15 + 5x + 3x + 8x + 5x + 4x = 500

Combine like terms: 15 + 10 = 25
25 + 15 + 5x + 3x + 8x + 5x + 4x = 500

Combine like terms: 25 + 15 = 40
40 + 5x + 3x + 8x + 5x + 4x = 500

Combine like terms: 5x + 3x = 8x
40 + 8x + 8x + 5x + 4x = 500

Combine like terms: 8x + 8x = 16x
40 + 16x + 5x + 4x = 500

Combine like terms: 16x + 5x = 21x
40 + 21x + 4x = 500

Combine like terms: 21x + 4x = 25x
40 + 25x = 500

Solving
40 + 25x = 500

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 25x = 500 + -40

Combine like terms: 40 + -40 = 0
0 + 25x = 500 + -40
25x = 500 + -40

Combine like terms: 500 + -40 = 460
25x = 460

Divide each side by '25'.
x = 18.4

Simplifying
x = 18.4

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