5(12-3p)=15p+120

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Solution for 5(12-3p)=15p+120 equation:


Simplifying
5(12 + -3p) = 15p + 120
(12 * 5 + -3p * 5) = 15p + 120
(60 + -15p) = 15p + 120

Reorder the terms:
60 + -15p = 120 + 15p

Solving
60 + -15p = 120 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
60 + -15p + -15p = 120 + 15p + -15p

Combine like terms: -15p + -15p = -30p
60 + -30p = 120 + 15p + -15p

Combine like terms: 15p + -15p = 0
60 + -30p = 120 + 0
60 + -30p = 120

Add '-60' to each side of the equation.
60 + -60 + -30p = 120 + -60

Combine like terms: 60 + -60 = 0
0 + -30p = 120 + -60
-30p = 120 + -60

Combine like terms: 120 + -60 = 60
-30p = 60

Divide each side by '-30'.
p = -2

Simplifying
p = -2

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