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

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


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

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

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

Combine like terms: p + -3p = -2p
12 + -2p = 2 + (2p + 5)

Reorder the terms:
12 + -2p = 2 + (5 + 2p)

Remove parenthesis around (5 + 2p)
12 + -2p = 2 + 5 + 2p

Combine like terms: 2 + 5 = 7
12 + -2p = 7 + 2p

Solving
12 + -2p = 7 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
12 + -2p + -2p = 7 + 2p + -2p

Combine like terms: -2p + -2p = -4p
12 + -4p = 7 + 2p + -2p

Combine like terms: 2p + -2p = 0
12 + -4p = 7 + 0
12 + -4p = 7

Add '-12' to each side of the equation.
12 + -12 + -4p = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -4p = 7 + -12
-4p = 7 + -12

Combine like terms: 7 + -12 = -5
-4p = -5

Divide each side by '-4'.
p = 1.25

Simplifying
p = 1.25

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