x+(x+5500)+2x+(2x+3000)=36700

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Solution for x+(x+5500)+2x+(2x+3000)=36700 equation:


Simplifying
x + (x + 5500) + 2x + (2x + 3000) = 36700

Reorder the terms:
x + (5500 + x) + 2x + (2x + 3000) = 36700

Remove parenthesis around (5500 + x)
x + 5500 + x + 2x + (2x + 3000) = 36700

Reorder the terms:
x + 5500 + x + 2x + (3000 + 2x) = 36700

Remove parenthesis around (3000 + 2x)
x + 5500 + x + 2x + 3000 + 2x = 36700

Reorder the terms:
5500 + 3000 + x + x + 2x + 2x = 36700

Combine like terms: 5500 + 3000 = 8500
8500 + x + x + 2x + 2x = 36700

Combine like terms: x + x = 2x
8500 + 2x + 2x + 2x = 36700

Combine like terms: 2x + 2x = 4x
8500 + 4x + 2x = 36700

Combine like terms: 4x + 2x = 6x
8500 + 6x = 36700

Solving
8500 + 6x = 36700

Solving for variable 'x'.

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

Add '-8500' to each side of the equation.
8500 + -8500 + 6x = 36700 + -8500

Combine like terms: 8500 + -8500 = 0
0 + 6x = 36700 + -8500
6x = 36700 + -8500

Combine like terms: 36700 + -8500 = 28200
6x = 28200

Divide each side by '6'.
x = 4700

Simplifying
x = 4700

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