1000(8x-10)=50(478+100x)

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Solution for 1000(8x-10)=50(478+100x) equation: 


Simplifying
1000(8x + -10) = 50(478 + 100x)

Reorder the terms:
1000(-10 + 8x) = 50(478 + 100x)
(-10 * 1000 + 8x * 1000) = 50(478 + 100x)
(-10000 + 8000x) = 50(478 + 100x)
-10000 + 8000x = (478 * 50 + 100x * 50)
-10000 + 8000x = (23900 + 5000x)

Solving
-10000 + 8000x = 23900 + 5000x

Solving for variable 'x'.

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

Add '-5000x' to each side of the equation.
-10000 + 8000x + -5000x = 23900 + 5000x + -5000x

Combine like terms: 8000x + -5000x = 3000x
-10000 + 3000x = 23900 + 5000x + -5000x

Combine like terms: 5000x + -5000x = 0
-10000 + 3000x = 23900 + 0
-10000 + 3000x = 23900

Add '10000' to each side of the equation.
-10000 + 10000 + 3000x = 23900 + 10000

Combine like terms: -10000 + 10000 = 0
0 + 3000x = 23900 + 10000
3000x = 23900 + 10000

Combine like terms: 23900 + 10000 = 33900
3000x = 33900

Divide each side by '3000'.
x = 11.3

Simplifying
x = 11.3

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