P-(P+15)=5(P-3)+3P

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Solution for P-(P+15)=5(P-3)+3P equation: 


Simplifying
P + -1(P + 15) = 5(P + -3) + 3P

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

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

Combine like terms: P + -1P = 0
-15 + 0 = 5(P + -3) + 3P
-15 = 5(P + -3) + 3P

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

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

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

Combine like terms: -15 + 15 = 0
0 = -15 + 15 + 8P

Combine like terms: -15 + 15 = 0
0 = 0 + 8P
0 = 8P

Solving
0 = 8P

Solving for variable 'P'.

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

Add '-8P' to each side of the equation.
0 + -8P = 8P + -8P
Remove the zero:
-8P = 8P + -8P

Combine like terms: 8P + -8P = 0
-8P = 0

Divide each side by '-8'.
P = 0

Simplifying
P = 0

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