20000x(80-p)=100000x(p-20)

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Solution for 20000x(80-p)=100000x(p-20) equation:


Simplifying
20000x(80 + -1p) = 100000x(p + -20)
(80 * 20000x + -1p * 20000x) = 100000x(p + -20)

Reorder the terms:
(-20000px + 1600000x) = 100000x(p + -20)
(-20000px + 1600000x) = 100000x(p + -20)

Reorder the terms:
-20000px + 1600000x = 100000x(-20 + p)
-20000px + 1600000x = (-20 * 100000x + p * 100000x)

Reorder the terms:
-20000px + 1600000x = (100000px + -2000000x)
-20000px + 1600000x = (100000px + -2000000x)

Solving
-20000px + 1600000x = 100000px + -2000000x

Solving for variable 'p'.

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

Add '-100000px' to each side of the equation.
-20000px + -100000px + 1600000x = 100000px + -100000px + -2000000x

Combine like terms: -20000px + -100000px = -120000px
-120000px + 1600000x = 100000px + -100000px + -2000000x

Combine like terms: 100000px + -100000px = 0
-120000px + 1600000x = 0 + -2000000x
-120000px + 1600000x = -2000000x

Add '-1600000x' to each side of the equation.
-120000px + 1600000x + -1600000x = -2000000x + -1600000x

Combine like terms: 1600000x + -1600000x = 0
-120000px + 0 = -2000000x + -1600000x
-120000px = -2000000x + -1600000x

Combine like terms: -2000000x + -1600000x = -3600000x
-120000px = -3600000x

Divide each side by '-120000x'.
p = 30

Simplifying
p = 30

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