2(6p+5)=p-3(p-8)

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Solution for 2(6p+5)=p-3(p-8) equation:


Simplifying
2(6p + 5) = p + -3(p + -8)

Reorder the terms:
2(5 + 6p) = p + -3(p + -8)
(5 * 2 + 6p * 2) = p + -3(p + -8)
(10 + 12p) = p + -3(p + -8)

Reorder the terms:
10 + 12p = p + -3(-8 + p)
10 + 12p = p + (-8 * -3 + p * -3)
10 + 12p = p + (24 + -3p)

Reorder the terms:
10 + 12p = 24 + p + -3p

Combine like terms: p + -3p = -2p
10 + 12p = 24 + -2p

Solving
10 + 12p = 24 + -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.
10 + 12p + 2p = 24 + -2p + 2p

Combine like terms: 12p + 2p = 14p
10 + 14p = 24 + -2p + 2p

Combine like terms: -2p + 2p = 0
10 + 14p = 24 + 0
10 + 14p = 24

Add '-10' to each side of the equation.
10 + -10 + 14p = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 14p = 24 + -10
14p = 24 + -10

Combine like terms: 24 + -10 = 14
14p = 14

Divide each side by '14'.
p = 1

Simplifying
p = 1

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