4(2p+5)+p=3(3p-5)+2p

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Solution for 4(2p+5)+p=3(3p-5)+2p equation: 


Simplifying
4(2p + 5) + p = 3(3p + -5) + 2p

Reorder the terms:
4(5 + 2p) + p = 3(3p + -5) + 2p
(5 * 4 + 2p * 4) + p = 3(3p + -5) + 2p
(20 + 8p) + p = 3(3p + -5) + 2p

Combine like terms: 8p + p = 9p
20 + 9p = 3(3p + -5) + 2p

Reorder the terms:
20 + 9p = 3(-5 + 3p) + 2p
20 + 9p = (-5 * 3 + 3p * 3) + 2p
20 + 9p = (-15 + 9p) + 2p

Combine like terms: 9p + 2p = 11p
20 + 9p = -15 + 11p

Solving
20 + 9p = -15 + 11p

Solving for variable 'p'.

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

Add '-11p' to each side of the equation.
20 + 9p + -11p = -15 + 11p + -11p

Combine like terms: 9p + -11p = -2p
20 + -2p = -15 + 11p + -11p

Combine like terms: 11p + -11p = 0
20 + -2p = -15 + 0
20 + -2p = -15

Add '-20' to each side of the equation.
20 + -20 + -2p = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -2p = -15 + -20
-2p = -15 + -20

Combine like terms: -15 + -20 = -35
-2p = -35

Divide each side by '-2'.
p = 17.5

Simplifying
p = 17.5

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