1000(6x-10)=40(305+100x)

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Solution for 1000(6x-10)=40(305+100x) equation:


Simplifying
1000(6x + -10) = 40(305 + 100x)

Reorder the terms:
1000(-10 + 6x) = 40(305 + 100x)
(-10 * 1000 + 6x * 1000) = 40(305 + 100x)
(-10000 + 6000x) = 40(305 + 100x)
-10000 + 6000x = (305 * 40 + 100x * 40)
-10000 + 6000x = (12200 + 4000x)

Solving
-10000 + 6000x = 12200 + 4000x

Solving for variable 'x'.

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

Add '-4000x' to each side of the equation.
-10000 + 6000x + -4000x = 12200 + 4000x + -4000x

Combine like terms: 6000x + -4000x = 2000x
-10000 + 2000x = 12200 + 4000x + -4000x

Combine like terms: 4000x + -4000x = 0
-10000 + 2000x = 12200 + 0
-10000 + 2000x = 12200

Add '10000' to each side of the equation.
-10000 + 10000 + 2000x = 12200 + 10000

Combine like terms: -10000 + 10000 = 0
0 + 2000x = 12200 + 10000
2000x = 12200 + 10000

Combine like terms: 12200 + 10000 = 22200
2000x = 22200

Divide each side by '2000'.
x = 11.1

Simplifying
x = 11.1

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