120000=x*500+(x+40)*500+(x+80)*500

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Solution for 120000=x*500+(x+40)*500+(x+80)*500 equation: 


Simplifying
120000 = x * 500 + (x + 40) * 500 + (x + 80) * 500

Reorder the terms for easier multiplication:
120000 = 500x + (x + 40) * 500 + (x + 80) * 500

Reorder the terms:
120000 = 500x + (40 + x) * 500 + (x + 80) * 500

Reorder the terms for easier multiplication:
120000 = 500x + 500(40 + x) + (x + 80) * 500
120000 = 500x + (40 * 500 + x * 500) + (x + 80) * 500
120000 = 500x + (20000 + 500x) + (x + 80) * 500

Reorder the terms:
120000 = 500x + 20000 + 500x + (80 + x) * 500

Reorder the terms for easier multiplication:
120000 = 500x + 20000 + 500x + 500(80 + x)
120000 = 500x + 20000 + 500x + (80 * 500 + x * 500)
120000 = 500x + 20000 + 500x + (40000 + 500x)

Reorder the terms:
120000 = 20000 + 40000 + 500x + 500x + 500x

Combine like terms: 20000 + 40000 = 60000
120000 = 60000 + 500x + 500x + 500x

Combine like terms: 500x + 500x = 1000x
120000 = 60000 + 1000x + 500x

Combine like terms: 1000x + 500x = 1500x
120000 = 60000 + 1500x

Solving
120000 = 60000 + 1500x

Solving for variable 'x'.

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

Add '-1500x' to each side of the equation.
120000 + -1500x = 60000 + 1500x + -1500x

Combine like terms: 1500x + -1500x = 0
120000 + -1500x = 60000 + 0
120000 + -1500x = 60000

Add '-120000' to each side of the equation.
120000 + -120000 + -1500x = 60000 + -120000

Combine like terms: 120000 + -120000 = 0
0 + -1500x = 60000 + -120000
-1500x = 60000 + -120000

Combine like terms: 60000 + -120000 = -60000
-1500x = -60000

Divide each side by '-1500'.
x = 40

Simplifying
x = 40

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