120000=x*50+(x+40)*50+(x+80)*50

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Solution for 120000=x*50+(x+40)*50+(x+80)*50 equation: 


Simplifying
120000 = x * 50 + (x + 40) * 50 + (x + 80) * 50

Reorder the terms for easier multiplication:
120000 = 50x + (x + 40) * 50 + (x + 80) * 50

Reorder the terms:
120000 = 50x + (40 + x) * 50 + (x + 80) * 50

Reorder the terms for easier multiplication:
120000 = 50x + 50(40 + x) + (x + 80) * 50
120000 = 50x + (40 * 50 + x * 50) + (x + 80) * 50
120000 = 50x + (2000 + 50x) + (x + 80) * 50

Reorder the terms:
120000 = 50x + 2000 + 50x + (80 + x) * 50

Reorder the terms for easier multiplication:
120000 = 50x + 2000 + 50x + 50(80 + x)
120000 = 50x + 2000 + 50x + (80 * 50 + x * 50)
120000 = 50x + 2000 + 50x + (4000 + 50x)

Reorder the terms:
120000 = 2000 + 4000 + 50x + 50x + 50x

Combine like terms: 2000 + 4000 = 6000
120000 = 6000 + 50x + 50x + 50x

Combine like terms: 50x + 50x = 100x
120000 = 6000 + 100x + 50x

Combine like terms: 100x + 50x = 150x
120000 = 6000 + 150x

Solving
120000 = 6000 + 150x

Solving for variable 'x'.

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

Add '-150x' to each side of the equation.
120000 + -150x = 6000 + 150x + -150x

Combine like terms: 150x + -150x = 0
120000 + -150x = 6000 + 0
120000 + -150x = 6000

Add '-120000' to each side of the equation.
120000 + -120000 + -150x = 6000 + -120000

Combine like terms: 120000 + -120000 = 0
0 + -150x = 6000 + -120000
-150x = 6000 + -120000

Combine like terms: 6000 + -120000 = -114000
-150x = -114000

Divide each side by '-150'.
x = 760

Simplifying
x = 760

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