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

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


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

Reorder the terms:
5(3 + 2p) + -3(2p + -3) = 5
(3 * 5 + 2p * 5) + -3(2p + -3) = 5
(15 + 10p) + -3(2p + -3) = 5

Reorder the terms:
15 + 10p + -3(-3 + 2p) = 5
15 + 10p + (-3 * -3 + 2p * -3) = 5
15 + 10p + (9 + -6p) = 5

Reorder the terms:
15 + 9 + 10p + -6p = 5

Combine like terms: 15 + 9 = 24
24 + 10p + -6p = 5

Combine like terms: 10p + -6p = 4p
24 + 4p = 5

Solving
24 + 4p = 5

Solving for variable 'p'.

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

Add '-24' to each side of the equation.
24 + -24 + 4p = 5 + -24

Combine like terms: 24 + -24 = 0
0 + 4p = 5 + -24
4p = 5 + -24

Combine like terms: 5 + -24 = -19
4p = -19

Divide each side by '4'.
p = -4.75

Simplifying
p = -4.75

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