3p+2(p+2)=20-(2p-5)

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Solution for 3p+2(p+2)=20-(2p-5) equation: 


Simplifying
3p + 2(p + 2) = 20 + -1(2p + -5)

Reorder the terms:
3p + 2(2 + p) = 20 + -1(2p + -5)
3p + (2 * 2 + p * 2) = 20 + -1(2p + -5)
3p + (4 + 2p) = 20 + -1(2p + -5)

Reorder the terms:
4 + 3p + 2p = 20 + -1(2p + -5)

Combine like terms: 3p + 2p = 5p
4 + 5p = 20 + -1(2p + -5)

Reorder the terms:
4 + 5p = 20 + -1(-5 + 2p)
4 + 5p = 20 + (-5 * -1 + 2p * -1)
4 + 5p = 20 + (5 + -2p)

Combine like terms: 20 + 5 = 25
4 + 5p = 25 + -2p

Solving
4 + 5p = 25 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
4 + 5p + 2p = 25 + -2p + 2p

Combine like terms: 5p + 2p = 7p
4 + 7p = 25 + -2p + 2p

Combine like terms: -2p + 2p = 0
4 + 7p = 25 + 0
4 + 7p = 25

Add '-4' to each side of the equation.
4 + -4 + 7p = 25 + -4

Combine like terms: 4 + -4 = 0
0 + 7p = 25 + -4
7p = 25 + -4

Combine like terms: 25 + -4 = 21
7p = 21

Divide each side by '7'.
p = 3

Simplifying
p = 3

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