1000(9x-10)=50(992+100x)

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Solution for 1000(9x-10)=50(992+100x) equation:


Simplifying
1000(9x + -10) = 50(992 + 100x)

Reorder the terms:
1000(-10 + 9x) = 50(992 + 100x)
(-10 * 1000 + 9x * 1000) = 50(992 + 100x)
(-10000 + 9000x) = 50(992 + 100x)
-10000 + 9000x = (992 * 50 + 100x * 50)
-10000 + 9000x = (49600 + 5000x)

Solving
-10000 + 9000x = 49600 + 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 + 9000x + -5000x = 49600 + 5000x + -5000x

Combine like terms: 9000x + -5000x = 4000x
-10000 + 4000x = 49600 + 5000x + -5000x

Combine like terms: 5000x + -5000x = 0
-10000 + 4000x = 49600 + 0
-10000 + 4000x = 49600

Add '10000' to each side of the equation.
-10000 + 10000 + 4000x = 49600 + 10000

Combine like terms: -10000 + 10000 = 0
0 + 4000x = 49600 + 10000
4000x = 49600 + 10000

Combine like terms: 49600 + 10000 = 59600
4000x = 59600

Divide each side by '4000'.
x = 14.9

Simplifying
x = 14.9

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