3(2p+1)-(p-2)=2(p+4)

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Solution for 3(2p+1)-(p-2)=2(p+4) equation:


Simplifying
3(2p + 1) + -1(p + -2) = 2(p + 4)

Reorder the terms:
3(1 + 2p) + -1(p + -2) = 2(p + 4)
(1 * 3 + 2p * 3) + -1(p + -2) = 2(p + 4)
(3 + 6p) + -1(p + -2) = 2(p + 4)

Reorder the terms:
3 + 6p + -1(-2 + p) = 2(p + 4)
3 + 6p + (-2 * -1 + p * -1) = 2(p + 4)
3 + 6p + (2 + -1p) = 2(p + 4)

Reorder the terms:
3 + 2 + 6p + -1p = 2(p + 4)

Combine like terms: 3 + 2 = 5
5 + 6p + -1p = 2(p + 4)

Combine like terms: 6p + -1p = 5p
5 + 5p = 2(p + 4)

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

Solving
5 + 5p = 8 + 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.
5 + 5p + -2p = 8 + 2p + -2p

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

Combine like terms: 2p + -2p = 0
5 + 3p = 8 + 0
5 + 3p = 8

Add '-5' to each side of the equation.
5 + -5 + 3p = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 3p = 8 + -5
3p = 8 + -5

Combine like terms: 8 + -5 = 3
3p = 3

Divide each side by '3'.
p = 1

Simplifying
p = 1

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