1000(8x-10)=40(960+100x)

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Solution for 1000(8x-10)=40(960+100x) equation:


Simplifying
1000(8x + -10) = 40(960 + 100x)

Reorder the terms:
1000(-10 + 8x) = 40(960 + 100x)
(-10 * 1000 + 8x * 1000) = 40(960 + 100x)
(-10000 + 8000x) = 40(960 + 100x)
-10000 + 8000x = (960 * 40 + 100x * 40)
-10000 + 8000x = (38400 + 4000x)

Solving
-10000 + 8000x = 38400 + 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 + 8000x + -4000x = 38400 + 4000x + -4000x

Combine like terms: 8000x + -4000x = 4000x
-10000 + 4000x = 38400 + 4000x + -4000x

Combine like terms: 4000x + -4000x = 0
-10000 + 4000x = 38400 + 0
-10000 + 4000x = 38400

Add '10000' to each side of the equation.
-10000 + 10000 + 4000x = 38400 + 10000

Combine like terms: -10000 + 10000 = 0
0 + 4000x = 38400 + 10000
4000x = 38400 + 10000

Combine like terms: 38400 + 10000 = 48400
4000x = 48400

Divide each side by '4000'.
x = 12.1

Simplifying
x = 12.1

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