2p-5(p-4)=2p+12

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Solution for 2p-5(p-4)=2p+12 equation:


Simplifying
2p + -5(p + -4) = 2p + 12

Reorder the terms:
2p + -5(-4 + p) = 2p + 12
2p + (-4 * -5 + p * -5) = 2p + 12
2p + (20 + -5p) = 2p + 12

Reorder the terms:
20 + 2p + -5p = 2p + 12

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

Reorder the terms:
20 + -3p = 12 + 2p

Solving
20 + -3p = 12 + 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 = 12 + 2p + -2p

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

Combine like terms: 2p + -2p = 0
20 + -5p = 12 + 0
20 + -5p = 12

Add '-20' to each side of the equation.
20 + -20 + -5p = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -5p = 12 + -20
-5p = 12 + -20

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

Divide each side by '-5'.
p = 1.6

Simplifying
p = 1.6

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