3p-5=p+12

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Solution for 3p-5=p+12 equation:


Simplifying
3p + -5 = p + 12

Reorder the terms:
-5 + 3p = p + 12

Reorder the terms:
-5 + 3p = 12 + p

Solving
-5 + 3p = 12 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-5 + 3p + -1p = 12 + p + -1p

Combine like terms: 3p + -1p = 2p
-5 + 2p = 12 + p + -1p

Combine like terms: p + -1p = 0
-5 + 2p = 12 + 0
-5 + 2p = 12

Add '5' to each side of the equation.
-5 + 5 + 2p = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 2p = 12 + 5
2p = 12 + 5

Combine like terms: 12 + 5 = 17
2p = 17

Divide each side by '2'.
p = 8.5

Simplifying
p = 8.5

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