5(P-1)=2P+8(P-1)

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Solution for 5(P-1)=2P+8(P-1) equation:


Simplifying
5(P + -1) = 2P + 8(P + -1)

Reorder the terms:
5(-1 + P) = 2P + 8(P + -1)
(-1 * 5 + P * 5) = 2P + 8(P + -1)
(-5 + 5P) = 2P + 8(P + -1)

Reorder the terms:
-5 + 5P = 2P + 8(-1 + P)
-5 + 5P = 2P + (-1 * 8 + P * 8)
-5 + 5P = 2P + (-8 + 8P)

Reorder the terms:
-5 + 5P = -8 + 2P + 8P

Combine like terms: 2P + 8P = 10P
-5 + 5P = -8 + 10P

Solving
-5 + 5P = -8 + 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.
-5 + 5P + -10P = -8 + 10P + -10P

Combine like terms: 5P + -10P = -5P
-5 + -5P = -8 + 10P + -10P

Combine like terms: 10P + -10P = 0
-5 + -5P = -8 + 0
-5 + -5P = -8

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

Combine like terms: -5 + 5 = 0
0 + -5P = -8 + 5
-5P = -8 + 5

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

Divide each side by '-5'.
P = 0.6

Simplifying
P = 0.6

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