4(p+3)=36+5(2p-3)

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Solution for 4(p+3)=36+5(2p-3) equation:


Simplifying
4(p + 3) = 36 + 5(2p + -3)

Reorder the terms:
4(3 + p) = 36 + 5(2p + -3)
(3 * 4 + p * 4) = 36 + 5(2p + -3)
(12 + 4p) = 36 + 5(2p + -3)

Reorder the terms:
12 + 4p = 36 + 5(-3 + 2p)
12 + 4p = 36 + (-3 * 5 + 2p * 5)
12 + 4p = 36 + (-15 + 10p)

Combine like terms: 36 + -15 = 21
12 + 4p = 21 + 10p

Solving
12 + 4p = 21 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
12 + 4p + -10p = 21 + 10p + -10p

Combine like terms: 4p + -10p = -6p
12 + -6p = 21 + 10p + -10p

Combine like terms: 10p + -10p = 0
12 + -6p = 21 + 0
12 + -6p = 21

Add '-12' to each side of the equation.
12 + -12 + -6p = 21 + -12

Combine like terms: 12 + -12 = 0
0 + -6p = 21 + -12
-6p = 21 + -12

Combine like terms: 21 + -12 = 9
-6p = 9

Divide each side by '-6'.
p = -1.5

Simplifying
p = -1.5

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