5p+15(1-p)=10+(-10)(1-p)

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Solution for 5p+15(1-p)=10+(-10)(1-p) equation: 


Simplifying
5p + 15(1 + -1p) = 10 + (-10)(1 + -1p)
5p + (1 * 15 + -1p * 15) = 10 + (-10)(1 + -1p)
5p + (15 + -15p) = 10 + (-10)(1 + -1p)

Reorder the terms:
15 + 5p + -15p = 10 + (-10)(1 + -1p)

Combine like terms: 5p + -15p = -10p
15 + -10p = 10 + (-10)(1 + -1p)
15 + -10p = 10 + (1 * -10 + -1p * -10)
15 + -10p = 10 + (-10 + 10p)

Combine like terms: 10 + -10 = 0
15 + -10p = 0 + 10p
15 + -10p = 10p

Solving
15 + -10p = 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
15 + -10p + -10p = 10p + -10p

Combine like terms: -10p + -10p = -20p
15 + -20p = 10p + -10p

Combine like terms: 10p + -10p = 0
15 + -20p = 0

Add '-15' to each side of the equation.
15 + -15 + -20p = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -20p = 0 + -15
-20p = 0 + -15

Combine like terms: 0 + -15 = -15
-20p = -15

Divide each side by '-20'.
p = 0.75

Simplifying
p = 0.75

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