(x*500)+((x-1)*500)=1500

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Solution for (x*500)+((x-1)*500)=1500 equation: 


Simplifying
(x * 500) + ((x + -1) * 500) = 1500

Reorder the terms for easier multiplication:
(500x) + ((x + -1) * 500) = 1500

Reorder the terms:
(500x) + ((-1 + x) * 500) = 1500

Reorder the terms for easier multiplication:
(500x) + (500(-1 + x)) = 1500
(500x) + ((-1 * 500 + x * 500)) = 1500
(500x) + ((-500 + 500x)) = 1500
(500x) + (-500 + 500x) = 1500

Remove parenthesis around (-500 + 500x)
(500x) + -500 + 500x = 1500

Reorder the terms:
-500 + (500x) + 500x = 1500

Combine like terms: (500x) + 500x = 1000x
-500 + 1000x = 1500

Solving
-500 + 1000x = 1500

Solving for variable 'x'.

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

Add '500' to each side of the equation.
-500 + 500 + 1000x = 1500 + 500

Combine like terms: -500 + 500 = 0
0 + 1000x = 1500 + 500
1000x = 1500 + 500

Combine like terms: 1500 + 500 = 2000
1000x = 2000

Divide each side by '1000'.
x = 2

Simplifying
x = 2

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