5x+10x+10x+5x+(9x+1)+(9x+1)=900

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Solution for 5x+10x+10x+5x+(9x+1)+(9x+1)=900 equation:


Simplifying
5x + 10x + 10x + 5x + (9x + 1) + (9x + 1) = 900

Reorder the terms:
5x + 10x + 10x + 5x + (1 + 9x) + (9x + 1) = 900

Remove parenthesis around (1 + 9x)
5x + 10x + 10x + 5x + 1 + 9x + (9x + 1) = 900

Reorder the terms:
5x + 10x + 10x + 5x + 1 + 9x + (1 + 9x) = 900

Remove parenthesis around (1 + 9x)
5x + 10x + 10x + 5x + 1 + 9x + 1 + 9x = 900

Reorder the terms:
1 + 1 + 5x + 10x + 10x + 5x + 9x + 9x = 900

Combine like terms: 1 + 1 = 2
2 + 5x + 10x + 10x + 5x + 9x + 9x = 900

Combine like terms: 5x + 10x = 15x
2 + 15x + 10x + 5x + 9x + 9x = 900

Combine like terms: 15x + 10x = 25x
2 + 25x + 5x + 9x + 9x = 900

Combine like terms: 25x + 5x = 30x
2 + 30x + 9x + 9x = 900

Combine like terms: 30x + 9x = 39x
2 + 39x + 9x = 900

Combine like terms: 39x + 9x = 48x
2 + 48x = 900

Solving
2 + 48x = 900

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 48x = 900 + -2

Combine like terms: 2 + -2 = 0
0 + 48x = 900 + -2
48x = 900 + -2

Combine like terms: 900 + -2 = 898
48x = 898

Divide each side by '48'.
x = 18.70833333

Simplifying
x = 18.70833333

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