5p+2=3p-10

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Solution for 5p+2=3p-10 equation: 


Simplifying
5p + 2 = 3p + -10

Reorder the terms:
2 + 5p = 3p + -10

Reorder the terms:
2 + 5p = -10 + 3p

Solving
2 + 5p = -10 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
2 + 5p + -3p = -10 + 3p + -3p

Combine like terms: 5p + -3p = 2p
2 + 2p = -10 + 3p + -3p

Combine like terms: 3p + -3p = 0
2 + 2p = -10 + 0
2 + 2p = -10

Add '-2' to each side of the equation.
2 + -2 + 2p = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 2p = -10 + -2
2p = -10 + -2

Combine like terms: -10 + -2 = -12
2p = -12

Divide each side by '2'.
p = -6

Simplifying
p = -6

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