3(p+7)=5+2(2p+3)

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Solution for 3(p+7)=5+2(2p+3) equation: 


Simplifying
3(p + 7) = 5 + 2(2p + 3)

Reorder the terms:
3(7 + p) = 5 + 2(2p + 3)
(7 * 3 + p * 3) = 5 + 2(2p + 3)
(21 + 3p) = 5 + 2(2p + 3)

Reorder the terms:
21 + 3p = 5 + 2(3 + 2p)
21 + 3p = 5 + (3 * 2 + 2p * 2)
21 + 3p = 5 + (6 + 4p)

Combine like terms: 5 + 6 = 11
21 + 3p = 11 + 4p

Solving
21 + 3p = 11 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
21 + 3p + -4p = 11 + 4p + -4p

Combine like terms: 3p + -4p = -1p
21 + -1p = 11 + 4p + -4p

Combine like terms: 4p + -4p = 0
21 + -1p = 11 + 0
21 + -1p = 11

Add '-21' to each side of the equation.
21 + -21 + -1p = 11 + -21

Combine like terms: 21 + -21 = 0
0 + -1p = 11 + -21
-1p = 11 + -21

Combine like terms: 11 + -21 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10

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