3(5-p)=5(p-1)

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Solution for 3(5-p)=5(p-1) equation: 


Simplifying
3(5 + -1p) = 5(p + -1)
(5 * 3 + -1p * 3) = 5(p + -1)
(15 + -3p) = 5(p + -1)

Reorder the terms:
15 + -3p = 5(-1 + p)
15 + -3p = (-1 * 5 + p * 5)
15 + -3p = (-5 + 5p)

Solving
15 + -3p = -5 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
15 + -3p + -5p = -5 + 5p + -5p

Combine like terms: -3p + -5p = -8p
15 + -8p = -5 + 5p + -5p

Combine like terms: 5p + -5p = 0
15 + -8p = -5 + 0
15 + -8p = -5

Add '-15' to each side of the equation.
15 + -15 + -8p = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -8p = -5 + -15
-8p = -5 + -15

Combine like terms: -5 + -15 = -20
-8p = -20

Divide each side by '-8'.
p = 2.5

Simplifying
p = 2.5

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