5p+2=8p-19

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Solution for 5p+2=8p-19 equation:


Simplifying
5p + 2 = 8p + -19

Reorder the terms:
2 + 5p = 8p + -19

Reorder the terms:
2 + 5p = -19 + 8p

Solving
2 + 5p = -19 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
2 + 5p + -8p = -19 + 8p + -8p

Combine like terms: 5p + -8p = -3p
2 + -3p = -19 + 8p + -8p

Combine like terms: 8p + -8p = 0
2 + -3p = -19 + 0
2 + -3p = -19

Add '-2' to each side of the equation.
2 + -2 + -3p = -19 + -2

Combine like terms: 2 + -2 = 0
0 + -3p = -19 + -2
-3p = -19 + -2

Combine like terms: -19 + -2 = -21
-3p = -21

Divide each side by '-3'.
p = 7

Simplifying
p = 7

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