x+(x-500)+3(x-500)=2000

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Solution for x+(x-500)+3(x-500)=2000 equation: 


Simplifying
x + (x + -500) + 3(x + -500) = 2000

Reorder the terms:
x + (-500 + x) + 3(x + -500) = 2000

Remove parenthesis around (-500 + x)
x + -500 + x + 3(x + -500) = 2000

Reorder the terms:
x + -500 + x + 3(-500 + x) = 2000
x + -500 + x + (-500 * 3 + x * 3) = 2000
x + -500 + x + (-1500 + 3x) = 2000

Reorder the terms:
-500 + -1500 + x + x + 3x = 2000

Combine like terms: -500 + -1500 = -2000
-2000 + x + x + 3x = 2000

Combine like terms: x + x = 2x
-2000 + 2x + 3x = 2000

Combine like terms: 2x + 3x = 5x
-2000 + 5x = 2000

Solving
-2000 + 5x = 2000

Solving for variable 'x'.

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

Add '2000' to each side of the equation.
-2000 + 2000 + 5x = 2000 + 2000

Combine like terms: -2000 + 2000 = 0
0 + 5x = 2000 + 2000
5x = 2000 + 2000

Combine like terms: 2000 + 2000 = 4000
5x = 4000

Divide each side by '5'.
x = 800

Simplifying
x = 800

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