78*(X+200)+72*(X-200)+10X=9600000

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Solution for 78*(X+200)+72*(X-200)+10X=9600000 equation:


Simplifying
78(X + 200) + 72(X + -200) + 10X = 9600000

Reorder the terms:
78(200 + X) + 72(X + -200) + 10X = 9600000
(200 * 78 + X * 78) + 72(X + -200) + 10X = 9600000
(15600 + 78X) + 72(X + -200) + 10X = 9600000

Reorder the terms:
15600 + 78X + 72(-200 + X) + 10X = 9600000
15600 + 78X + (-200 * 72 + X * 72) + 10X = 9600000
15600 + 78X + (-14400 + 72X) + 10X = 9600000

Reorder the terms:
15600 + -14400 + 78X + 72X + 10X = 9600000

Combine like terms: 15600 + -14400 = 1200
1200 + 78X + 72X + 10X = 9600000

Combine like terms: 78X + 72X = 150X
1200 + 150X + 10X = 9600000

Combine like terms: 150X + 10X = 160X
1200 + 160X = 9600000

Solving
1200 + 160X = 9600000

Solving for variable 'X'.

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

Add '-1200' to each side of the equation.
1200 + -1200 + 160X = 9600000 + -1200

Combine like terms: 1200 + -1200 = 0
0 + 160X = 9600000 + -1200
160X = 9600000 + -1200

Combine like terms: 9600000 + -1200 = 9598800
160X = 9598800

Divide each side by '160'.
X = 59992.5

Simplifying
X = 59992.5

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