x+(x-2500)+(x+1500)=17500

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Solution for x+(x-2500)+(x+1500)=17500 equation:


Simplifying
x + (x + -2500) + (x + 1500) = 17500

Reorder the terms:
x + (-2500 + x) + (x + 1500) = 17500

Remove parenthesis around (-2500 + x)
x + -2500 + x + (x + 1500) = 17500

Reorder the terms:
x + -2500 + x + (1500 + x) = 17500

Remove parenthesis around (1500 + x)
x + -2500 + x + 1500 + x = 17500

Reorder the terms:
-2500 + 1500 + x + x + x = 17500

Combine like terms: -2500 + 1500 = -1000
-1000 + x + x + x = 17500

Combine like terms: x + x = 2x
-1000 + 2x + x = 17500

Combine like terms: 2x + x = 3x
-1000 + 3x = 17500

Solving
-1000 + 3x = 17500

Solving for variable 'x'.

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

Add '1000' to each side of the equation.
-1000 + 1000 + 3x = 17500 + 1000

Combine like terms: -1000 + 1000 = 0
0 + 3x = 17500 + 1000
3x = 17500 + 1000

Combine like terms: 17500 + 1000 = 18500
3x = 18500

Divide each side by '3'.
x = 6166.666667

Simplifying
x = 6166.666667

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