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

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Solution for 2(1+p)+p=5+3(3-3p) equation: 


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

Combine like terms: 2p + p = 3p
2 + 3p = 5 + 3(3 + -3p)
2 + 3p = 5 + (3 * 3 + -3p * 3)
2 + 3p = 5 + (9 + -9p)

Combine like terms: 5 + 9 = 14
2 + 3p = 14 + -9p

Solving
2 + 3p = 14 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
2 + 3p + 9p = 14 + -9p + 9p

Combine like terms: 3p + 9p = 12p
2 + 12p = 14 + -9p + 9p

Combine like terms: -9p + 9p = 0
2 + 12p = 14 + 0
2 + 12p = 14

Add '-2' to each side of the equation.
2 + -2 + 12p = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 12p = 14 + -2
12p = 14 + -2

Combine like terms: 14 + -2 = 12
12p = 12

Divide each side by '12'.
p = 1

Simplifying
p = 1

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