2(4p+5)=3(8+2p)

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Solution for 2(4p+5)=3(8+2p) equation: 


Simplifying
2(4p + 5) = 3(8 + 2p)

Reorder the terms:
2(5 + 4p) = 3(8 + 2p)
(5 * 2 + 4p * 2) = 3(8 + 2p)
(10 + 8p) = 3(8 + 2p)
10 + 8p = (8 * 3 + 2p * 3)
10 + 8p = (24 + 6p)

Solving
10 + 8p = 24 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
10 + 8p + -6p = 24 + 6p + -6p

Combine like terms: 8p + -6p = 2p
10 + 2p = 24 + 6p + -6p

Combine like terms: 6p + -6p = 0
10 + 2p = 24 + 0
10 + 2p = 24

Add '-10' to each side of the equation.
10 + -10 + 2p = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 2p = 24 + -10
2p = 24 + -10

Combine like terms: 24 + -10 = 14
2p = 14

Divide each side by '2'.
p = 7

Simplifying
p = 7

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