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

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


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

Reorder the terms:
8 + -3(-4 + p) = 2p + 5
8 + (-4 * -3 + p * -3) = 2p + 5
8 + (12 + -3p) = 2p + 5

Combine like terms: 8 + 12 = 20
20 + -3p = 2p + 5

Reorder the terms:
20 + -3p = 5 + 2p

Solving
20 + -3p = 5 + 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.
20 + -3p + -2p = 5 + 2p + -2p

Combine like terms: -3p + -2p = -5p
20 + -5p = 5 + 2p + -2p

Combine like terms: 2p + -2p = 0
20 + -5p = 5 + 0
20 + -5p = 5

Add '-20' to each side of the equation.
20 + -20 + -5p = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -5p = 5 + -20
-5p = 5 + -20

Combine like terms: 5 + -20 = -15
-5p = -15

Divide each side by '-5'.
p = 3

Simplifying
p = 3

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