3p+2=(5p-3)

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Solution for 3p+2=(5p-3) equation:


Simplifying
3p + 2 = (5p + -3)

Reorder the terms:
2 + 3p = (5p + -3)

Reorder the terms:
2 + 3p = (-3 + 5p)

Remove parenthesis around (-3 + 5p)
2 + 3p = -3 + 5p

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

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

Combine like terms: 5p + -5p = 0
2 + -2p = -3 + 0
2 + -2p = -3

Add '-2' to each side of the equation.
2 + -2 + -2p = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -2p = -3 + -2
-2p = -3 + -2

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

Divide each side by '-2'.
p = 2.5

Simplifying
p = 2.5

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