3p+2=5p-8

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Solution for 3p+2=5p-8 equation: 


Simplifying
3p + 2 = 5p + -8

Reorder the terms:
2 + 3p = 5p + -8

Reorder the terms:
2 + 3p = -8 + 5p

Solving
2 + 3p = -8 + 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.
2 + 3p + -5p = -8 + 5p + -5p

Combine like terms: 3p + -5p = -2p
2 + -2p = -8 + 5p + -5p

Combine like terms: 5p + -5p = 0
2 + -2p = -8 + 0
2 + -2p = -8

Add '-2' to each side of the equation.
2 + -2 + -2p = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -2p = -8 + -2
-2p = -8 + -2

Combine like terms: -8 + -2 = -10
-2p = -10

Divide each side by '-2'.
p = 5

Simplifying
p = 5

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