250000x(80-p)=500000x(p-20)

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Solution for 250000x(80-p)=500000x(p-20) equation:


Simplifying
250000x(80 + -1p) = 500000x(p + -20)
(80 * 250000x + -1p * 250000x) = 500000x(p + -20)

Reorder the terms:
(-250000px + 20000000x) = 500000x(p + -20)
(-250000px + 20000000x) = 500000x(p + -20)

Reorder the terms:
-250000px + 20000000x = 500000x(-20 + p)
-250000px + 20000000x = (-20 * 500000x + p * 500000x)

Reorder the terms:
-250000px + 20000000x = (500000px + -10000000x)
-250000px + 20000000x = (500000px + -10000000x)

Solving
-250000px + 20000000x = 500000px + -10000000x

Solving for variable 'p'.

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

Add '-500000px' to each side of the equation.
-250000px + -500000px + 20000000x = 500000px + -500000px + -10000000x

Combine like terms: -250000px + -500000px = -750000px
-750000px + 20000000x = 500000px + -500000px + -10000000x

Combine like terms: 500000px + -500000px = 0
-750000px + 20000000x = 0 + -10000000x
-750000px + 20000000x = -10000000x

Add '-20000000x' to each side of the equation.
-750000px + 20000000x + -20000000x = -10000000x + -20000000x

Combine like terms: 20000000x + -20000000x = 0
-750000px + 0 = -10000000x + -20000000x
-750000px = -10000000x + -20000000x

Combine like terms: -10000000x + -20000000x = -30000000x
-750000px = -30000000x

Divide each side by '-750000x'.
p = 40

Simplifying
p = 40

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